Answer:
for the time period 0 to 2s distance= 2m
for the time period 2s to 5s distance = 4.5m
Explanation:
for the time period 0 to 2s
s = (v+u)t/2
s= (2+0)×2/2
s = 2m
for the time period 2s to 5s
s = (v+u)t/2
s= (1+2)×3/2
s= 4.5m
From the The velocity-time graph for an ice skater is shown in Figure ,
The distances covered by the skater between 0 s and 2 s is 2 meters
The distance covered by the skater between 2 s and 5 s is 6.25 meters
What is Velocity?The total displacement covered by any object per unit of time is known as velocity. It depends on the magnitude as well as the direction of the moving object. The unit of velocity is meter/second. It can also be represented by the infinitesimal rate of change of displacement with respect to time. The generally considered unit for velocity is a meter per second.
As we know that slope of the velocity time curve represents the acceleration of the object while the area under the velocity time curve represents the displacement covered by the object
As given in the problem The velocity-time graph for an ice skater is shown in Figure
the distance covered by the skater between 0 s and 2 s is
The area of the triangle formed between 0 s and 2 s
Distance = 1/2 ×2×2
= 2 meters
Similarly, the distance covered by the skater between 2 s and 5 s is the area of the quadrilateral formed between 2 s and 5 s
Distance between 2 s and 5 s = area of the quadrilateral
Area of the quadrilateral = area of the square between 2s and 4s + area of the triangle between 2 s and 4 s + area of the triangle between 4 s and 5 s + area of the square between 4 s and 5 s
= 2×2 + 1/2 ×2×1/2 + 1/2 ×1×3/2 + 1×1
=4 + 1/2 + 3/4 +1
=6.25 meters
Thus, The skater travels a distance of 2 meters between 0 and 2 seconds and The skater travels 6.25 meters between seconds 2 and 5.
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Describe the development of our current model of the atom from the ancient Greeks till the 20 th century. For the toolbar, press \( \mathrm{ALT}+\mathrm{F} 10 \) (PC) or \( \mathrm{ALT}+\mathrm{FN}+\m
The development of our current model of the atom evolved over centuries, starting with the ancient Greeks' conceptualization of the atom as an indivisible particle.
Around the fifth century BCE, the Greeks became the first people to put forth the idea of the atom. Democritus and other philosophers proposed the idea that matter is made up of tiny, indivisible pieces called atoms, but there was no experimental support for this theory at the time. Although it survived for centuries, this idea did not significantly change until the 19th century.
Scientific developments in the 19th century led to a deeper comprehension of atoms. With notable contributions from Michael Faraday's work on electromagnetic induction and Benjamin Franklin's electricity tests, scientists discovered the presence of electrical charges.
Groundbreaking investigations that transformed our understanding of the atom took place in the early 20th century. The electron, a negatively charged particle inside the atom, was discovered in 1897 as a result of J.J. Thomson's cathode ray tube studies. Atoms are shown to have a small, dense, positively charged nucleus that is around by negatively charged electrons in a large empty region by Ernest Rutherford's gold foil experiment in 1911.
The Rutherford model, sometimes known as the planetary model, was created in response to the discovery of the nucleus. This model, however, encountered problems since it was unable to explain the stability of atoms and the behavior of electrons. Researchers like Werner Heisenberg and Erwin Schrödinger made significant contributions to the development of quantum mechanics in the 1920s and 1930s.
The wave-particle duality and quantum mechanical concepts are both included in the current model of the atom, also referred to as the quantum mechanical model. In orbitals, which are areas of probability where electrons are most likely to be located, it says that electrons exist. Around the nucleus, these orbitals are arranged into energy levels or shells. The behavior of subatomic particles like protons and neutrons, which make up the nucleus, is also taken into consideration by the model.
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10 points urgent due in 10
What wave properties are involved in a glass knocking over?
Answer:
Kinetic energy waves
Explanation:
the kinetic energy moves from your hand into the glass, knocking it over.
A fisherman in a row boat notices that one wave crest passes his fishing line every 5 seconds. he estimated the distance between the crests to be 1.5 meters and estimates that the crests of the waves are 0.5 meters above the troughs.
Using the data find the frequency of the wave divide how many wave crests pass every 5 seconds
Answer:
amplitude = 0.5 m 4 2 = 0.25 m
Explanation:
combination unit is an air conditioner that contains components for cooling and heating in one sheet metal cabinet. True or False
Combination unit is an air conditioner that contains components for cooling and heating in one sheet metal cabinet. this is true statement.
What is combination unit of an air conditioner?Heating and cooling are often taken for granted by most people. In the winter and summer, we'll count on the heating and air conditioning to keep us comfortable. You may be able to save money and have a more comfortable environment with a single system that controls both. We may offer combination heating and air conditioning units at Climate Environmental, which will comprise air conditioning systems and heating units that will supply both warm air and cold air with the touch of a remote control.
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why malleability is a useful property
A block of mass m is supported by two identical parallel vertical springs, each with spring constant k. What will be the frequency of vibration
The frequency of vibration of the block supported by two identical parallel vertical springs can be calculated using the following formula:
f = (1 / (2π)) * √(k / m)
The frequency of vibration represents the number of complete oscillations or cycles the system undergoes per unit time. In this case, the block is supported by two identical parallel vertical springs. The frequency of vibration depends on the spring constant (k) and the mass of the block (m).
Given that the springs are identical and have the same spring constant (k), we can consider them as a combined system with an effective spring constant (k_eff) equal to twice the spring constant of a single spring:
k_eff = 2k
Using this effective spring constant, we can calculate the frequency of vibration (f) using the formula mentioned above:
f = (1 / (2π)) * √(k_eff / m)
= (1 / (2π)) * √((2k) / m)
= (1 / (2π)) * √(2k / m)
Simplifying further:
f = (1 / (2π)) * √(2k / m)
= (1 / (2π)) * √(2k) * √(1 / m)
= (1 / (2π)) * √(2k / m)
The frequency of vibration for the block supported by two identical parallel vertical springs is given by the formula f = (1 / (2π)) * √(2k / m), where k is the spring constant and m is the mass of the block.
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A solution containing 3.4 moles of pl3 and one l water
Answer:
c
Explanation:
c
Un avión vuela hacia al norte a una velocidad de 90 m/s, pero un fuerte viento sopla hacia al este a 20 m/s y desvía su rumbo. Realiza los trazos y encuentra el vector resultante.
La adicion de vectores permite encontrar la repuesta para la velocidad resultante del avión es:
Modulo de la veloicdad v= 92,2 m/s Dirección de esta veloicdad 12,5º al Norte del Este
Las magnitudes vectoriales son cantidades tienen modulo y dirección, la velocidad es una de estas magnitudes, por lo tanto deben ser sumada usando álgebra vectorial.
Un sistema de referencia es un sistema desde donde realizar las mediciones, en este caso indican que usemos un sistema de los puntos cardinales.
En el adjunto podemos ver un esquema de los vectores velocidad y su resultante, realicemos el calculo de la resultante por método analíticos
Indican que el valor de la velocidad hacia el Este es vₓ = 20 m/s y la velocidad hacia el Norte es v_y = 90 m/s, por lo tanto, para la magnitud usamos el Teorema de Pitágoras
\(R= \sqrt{v_x^2 + v_y^2}\)
R = \(\sqrt{20^2 + 90^2}\)
R = 92,2 m/s
Para encontrar la direccion usemos trigonometría
tan θ = \(\frac{v_y}{v_x}\)
θ = tan⁻¹ \(\frac{v_y}{v_x}\)
θ = tan⁻¹ 20/90
θ = 12,5º
La dirección se lee 12,5º al Norte del Este
En conclusión usando la suma de vectores podemos encontrar la repuesta para la velocidad resultante del avión es:
v= 92,2 m/s con dirección 12,5º al Norte del EsteAprender mas aquí:
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It requires a force of 18 N to hold a spring stretched l m beyond its natural length. If L>l, how much work, in terms of l and L, is required to further stretch the spring from l m to L m ? Work =Nm
To further stretch the spring from l m to L m, the work done is given by W = 0.5k (L² - l²), where k is the spring constant and l and L are the initial and final lengths respectively.
Given, it requires a force of 18 N to hold a spring stretched l m beyond its natural length.Since the work done is equal to the change in potential energy, therefore, the work required to further stretch the spring from l m to L m is given by:
W = Uf - Ui
= 0.5 k L² - 0.5 k l²
Now, we have k = F / x where F is the force required to stretch the spring by a distance x.So,
k = 18 / l
Also, the force required to stretch the spring to length L is given by:
F' = k (L - l) = 18 (L - l) / l
Therefore, the work done is given by:
W = 0.5 k (L² - l²) = 0.5 x 18 / l x (L² - l²) = 9 (L² - l²) / l
Hence, the work done to further stretch the spring from l m to L m is 9 (L² - l²) / l J.
Therefore, the work required to stretch the spring from l m to L m is given by the equation: W = 9 (L² - l²) / l.
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A 950-kg cylindrical can buoy floats vertically in seawater. The diameter of the buoy is 0.900 m. Calculate the additional distance the buoy will sink when an 80.0-kg man stands on top of it.
The additional distance the buoy will sink when an 80.0-kg man stands on top of it is approximately 0.122 meters.
To calculate the additional distance the buoy will sink when an 80.0-kg man stands on top of it, we will use Archimedes' principle and the concept of buoyancy.
First, we need to find the volume of the water displaced by the 80.0-kg man. We can use the following formula to calculate this volume:
Volume_displaced = (Mass_man / Density_water)
Density of seawater is approximately 1025 kg/m³, so:
Volume_displaced = (80.0 kg / 1025 kg/m³) = 0.0780 m³
Now, we will find the height (h) that the cylindrical buoy sinks. The volume of the cylinder can be expressed as:
Volume_displaced = π(Diameter² / 4) * h
We know the diameter (0.900 m) and the volume displaced (0.0780 m³), so we can solve for h:
0.0780 m³ = π(0.900 m² / 4) * h
Rearranging the equation and solving for h:
h = (0.0780 m³) / (π(0.900 m² / 4))
h ≈ 0.122 m
So, the additional distance the buoy will sink when an 80.0-kg man stands on top of it is approximately 0.122 meters.
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What is the density of a substance that has a mass of 10 grams and volume of 15cm3
1.5 gram per cubic centimeter
A microwave is a(n) _____ that is directed from one microwave station tower to another
The high-frequency radio signal is the answer.
Radiofrequency (RF) radios are in the wavelength band of 100 to 10 meters and extend from 3 MHz to 30 MHz. Much of the HF bandwidth is allocated to mobile and fixed voice communications services that require transmission bandwidth of less than 12 kHz. International (Shortwave) Broadcast
Radio Frequency (HF) is an ITU term for the range of high-frequency electromagnetic waves (radio waves) from 3 to 30 MHz (MHz). It is also known as the decameter band or decameter wave because it has wavelengths in the range of 1 to 10 decameter (tens to hundreds of meters).
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A body is under the action of two forces 7N and 10N.find the resultant of the two forces.ifThe two forces are parallel and act in the same directionThe two forces are inclined at an angle of 60°to each otherThe two forces are inclined at an angle of 160°The two forces act 90° to each other
To find the resultant of two forces, we can use vector addition. The magnitude and direction of the resultant depend on the given conditions. Let's calculate the resultants for each case:
When the two forces are parallel and act in the same direction: In this case, we can simply add the magnitudes of the forces. Resultant = 7 N + 10 N = 17 N. The resultant force is 17 N in the same direction as the two forces. When the two forces are inclined at an angle of 60° to each other: To find the resultant, we need to use vector addition. We can use the parallelogram method or the triangle method. Let's use the triangle method. Draw a triangle with sides representing the magnitudes of the forces. The angle between the two forces is given as 60°. Using the law of cosines, we can find the magnitude of the resultant: Resultant^2 = (7 N)^2 + (10 N)^2 - 2 * (7 N) * (10 N) * cos(60°) Resultant = sqrt(49 N^2 + 100 N^2 - 140 N^2 * cos(60°)) Resultant ≈ 15.3 N The resultant force is approximately 15.3 N. When the two forces are inclined at an angle of 160°: Similar to the previous case, we can use the triangle method. Resultant^2 = (7 N)^2 + (10 N)^2 - 2 * (7 N) * (10 N) * cos(160°) Resultant = sqrt(49 N^2 + 100 N^2 + 140 N^2 * cos(160°)) Resultant ≈ 3.5 N The resultant force is approximately 3.5 N. When the two forces act at 90° to each other: In this case, we can use the Pythagorean theorem to find the magnitude of the resultant. Resultant = sqrt((7 N)^2 + (10 N)^2) Resultant ≈ 12.2 N. The resultant force is approximately 12.2 N.
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Materials A, B, and C are solids that are at their melting temperatures. Material A requires 200 J to melt 4 kg, material B requires 300 J to melt 5 kg, and material C requires 300 J to melt 6 kg. Rank the materials according to their heats of fusion. If multiple materials rank equally, use the same rank for each, then exclude the intermediate ranking (i.e. if objects A, B, and C must be ranked, and A and B must both be ranked first, the ranking would be A:Greatest, B:Greatest, C:Third greatest). If all materials rank equally, rank each as 'Greatest'.
Answer:
B: Greatest, A: Second greatest, C: Second geratest.
Explanation:
We can calculate the heat of fusion of a material (ΔHfus), which is the heat required to melt 1 kg of material, using the following expression.
ΔHfus = Q/m
where,
Q: heat providedm: massMaterial A
ΔHfus = 200 J/4 kg = 50 J/kg
Material B
ΔHfus = 300 J/5 kg = 60 J/kg
Material C
ΔHfus = 300 J/6 kg = 50 J/kg
Then, considering the heats of fusion,
B: Greatest, A: Second greatest, C: Second greatest.
A ball is launched from inside a cylindrical device that has been set on a frictionless incline and turned loose
What can be determined about where the ball will land ?
The ball will land back in the cylinder.
The ball will land behind the cylinder.
It depends on the mass of the ball.
The ball will land in front of the cylinder.
It cannot be determined.
The velocity of the ball in the forward direction is the same as the initial velocity with which it was launched.
A ball is launched from inside a cylindrical device that has been set on a frictionless incline and turned loose. What can be determined about where the ball will land?It can be determined that the ball will land in front of the cylinder.
This can be explained with the help of a few concepts of Physics. When an object moves on an incline without friction, then it can be divided into two components, which are: gravity and normal force.
Here, gravity is acting towards the center of the Earth, whereas the normal force is perpendicular to the incline. Let's suppose that the ball is launched with a certain velocity, which makes it move along the incline and get projected in the forward direction.
If we think of the motion of the ball from the observer's point of view who is standing on the incline, then the motion will appear to be parabolic. This is because the observer would see that the ball is moving forward with a constant velocity, but its vertical position keeps changing due to the effect of gravity.
However, from the observer's point of view who is standing in front of the cylinder, the motion of the ball will look like it is a projectile.
The velocity of the ball in the forward direction is the same as the initial velocity with which it was launched.
But, due to the effect of gravity, the vertical component of the velocity would change, which would result in a parabolic path of the ball. Therefore, the ball will land in front of the cylinder.
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The velocity of the ball in the forward direction is the same as the initial velocity with which it was launched. It can be determined that the ball will land in front of the cylinder. The correct option is The ball will land in front of the cylinder.
A ball is launched from inside a cylindrical device that has been set on a frictionless incline and turned loose. What can be determined about where the ball will land?It can be determined that the ball will land in front of the cylinder.
This can be explained with the help of a few concepts of Physics. When an object moves on an incline without friction, then it can be divided into two components, which are: gravity and normal force.
Here, gravity is acting towards the center of the Earth, whereas the normal force is perpendicular to the incline. Let's suppose that the ball is launched with a certain velocity, which makes it move along the incline and get projected in the forward direction.
If we think of the motion of the ball from the observer's point of view who is standing on the incline, then the motion will appear to be parabolic. This is because the observer would see that the ball is moving forward with a constant velocity, but its vertical position keeps changing due to the effect of gravity.
However, from the observer's point of view who is standing in front of the cylinder, the motion of the ball will look like it is a projectile.
The velocity of the ball in the forward direction is the same as the initial velocity with which it was launched.
But, due to the effect of gravity, the vertical component of the velocity would change, which would result in a parabolic path of the ball. Therefore, the ball will land in front of the cylinder.
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When shooting a bow and arrow, when the archer pulls back the string, the bow flexes! Now the flexed bow has.
a. Potential energy
b. Kinetic energy
c. Motion
d. Work
When shooting a bow and arrow, the archer pulls back the string and flexes the bow, storing potential energy.
What is potential energy?Potential energy is the energy stored in an object due to its position or configuration. This type of energy is the stored energy of an object, which can be released and transformed into other forms of energy, such as kinetic energy. Potential energy is associated with forces such as gravity, electrical, and chemical, which can cause a change in an object’s energy state. Examples of potential energy include a stretched bow and arrow, a roller coaster at the top of a hill, and a compressed spring.
This potential energy is then transferred to the arrow in the form of kinetic energy. The arrow is then put in motion by the archer and due to the force of the bowstring, work is done in the form of acceleration. The arrow is then released and the kinetic energy propels it towards the target.
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using question 13, the measured initial kinetic energy (j) of the bullet is: hint: 1 gram = 1/1000 kg
a.15870 b.1.5 c.1500 d.15.01 e.15000 f.150.0 g.5.0 h.1.50
The measured initial kinetic energy (J) of the bullet is 158.70 J.
So, the correct answer is A.
We know that the initial kinetic energy (KE) of the bullet is given by:
KE = (1/2) mv²
Where,m = mass of the bullet
v = velocity of the bullet
So, the initial kinetic energy of the bullet can be calculated as:
KE = (1/2) mv²
KE = (1/2) (m) (v)²
To determine the initial kinetic energy of the bullet in Joules, we can use the formula KE = 1/2mv², where m is the mass of the bullet and v is its velocity.
From question 13, we know that the mass of the bullet is 0.023 g, which is equal to 0.023/1000 kg. We also know that its velocity is 330 m/s.
Plugging these values into the formula, we get KE = 1/2 x 0.023/1000 x (330)²= 158.7 J.
Therefore, the measured initial kinetic energy of the bullet is option A, 158.70 J.
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How are electric potential difference and electric potential energy related? Electric potential difference is the charge divided by the difference in electric potential energy. Electric potential energy is the charge divided by the electric potential difference. Electric potential difference is the difference in electric potential energy divided by the charge. Electric potential energy is the electric potential difference divided by the charge.
Answer:
C
Explanation:
Answer:
C. Electric potential difference is the difference in electric potential energy divided by the charge.
Explanation:
edgen correct
i need help on this which is correct? plz help me its timed.
Answer:
Watershed should be your answer!
what is the relationship between harmonics and resonance frequency in a piano
There is direct relationship between harmonics and resonance frequency.
A harmonic is a wave with a frequency that is a positive integer multiple of the frequency of the original wave whereas, resonance frequency is the frequency at which the oscillation reaches to its maximum point. The lowest resonant frequency is known as the fundamental, while on the other hand, the higher resonant frequencies are called overtones. All resonant frequencies are multiples of the fundamental, and are called harmonics. So we can conclude that there is a direct relationship between harmonics and resonance frequency.Learn more about harmonic here: https://brainly.com/question/17315536
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The pitch of a micrometer screw gauge is 1 mm and there are 100 divisions on the circular scale. While measuring the diameter of a wire, the linear scale reads 1 mm and 47th division on the circular scale lines up with the reference line. The length (L) of the wire is 5.6 cm. Find the curved surface area (in cm2) of the wire. (Circumference (C) = 2 r, Area = C L)
A. 5.2 cm2
B. 4.9 cm2
C. 2.6 cm2
D. 3.1 cm2
Pitch of a micrometer screw gauge The pitch of a micrometer screw gauge is 1 mm and there are 100 divisions on the circular scale. It follows that: The value of one circular scale division isPitch (P) = 1mm / 100 = 0.01 mmMeasuring the diameter of a wire.
Using the micrometer screw gauge, while measuring the diameter of a wire, the linear scale reads 1 mm and 47th division on the circular scale lines up with the reference line. Hence, the diameter D of the wire is: D = (1 + 0.47 × 0.01) mm = 1.0047 mm, The length L of the wire is 5.6 cm.
Therefore, the circumference C of the wire is: C = π D = π × 1.0047 mm = 3.159 mmNote: π = 3.1416 is used instead of π = 22/7 to avoid rounding-off errors. The curved surface area of the wire is: A = C L = 3.159 × 5.6 cm2 = 17.7044 cm2 = 17.7 cm2 (to one decimal place)Therefore, the curved surface area (in cm2) of the wire is 17.7 cm2.The correct option is not among the given options.
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3. A 0.30 kg object is attached to a spring which is compressed 0.80 m by a force of 80.0 N. It hits a 0.20 kg object in a perfectly inelastic collision causing the objects to fly off of the 10.5 m high platform. a)Find the k value of the spring. b)Find the elastic potential energy in the spring. c)Calculate the final speed of the objects
Answer:24
Explanation:u just get good sum idek
8
An airplane flies 8000 m in 30 seconds. Calculate the velocity of the airplane. U
(10 Points)
O 0.27 m/s
16 m/s
267 m/s
24,000 m/s
Answer:
267
Explanation:
8000/30= 266.666666667
or 267 rounded to the nearest whole
a long spring is stretched and attached to two walls 5.42 m apart. the mass of the spring is 276 g. the tension in the spring is 10.6 n. what will be the frequency of a standing wave with three loops (three antinodes)
The frequency of the standing wave with three loops (three antinodes) is approximately 3.2 Hz.
Frequency is a measure of the number of cycles of a periodic wave that occur in a unit of time. It is usually expressed in hertz (Hz), which is the number of cycles per second.
The frequency of a wave determines its pitch, with higher frequencies producing higher pitches and lower frequencies producing lower pitches. In physics, frequency is an important concept in areas such as mechanics, electromagnetism, and quantum mechanics.
The frequency of a standing wave in a stretched spring can be determined using the equation:
f = (1 / 2L) * √(T / μ)
where:
L = length of the spring
T = tension in the spring
μ = linear mass density of the spring (mass per unit length)
First, we need to calculate the linear mass density of the spring, which is given by:
μ = mass/length
mass = 276 g = 0.276 kg
length = 5.42 m
μ = 0.276 kg / 5.42 m = 0.051 kg/m
Next, we can plug the values into the frequency equation:
f = (1 / 2 * 5.42 m) * √(10.6 N / 0.051 kg/m)
f = √(10.6 N / 0.051 kg/m) / 2.71 m
f ≈ 3.2 Hz
Therefore, the frequency of the standing wave with three loops (three antinodes) is approximately 3.2 Hz.
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If you push on an object with 10 N to the right and your friend pushes with 20 N to the left, what direction will the object move?
Answer:
The answer is left
Explanation:
because 20N is greater Then 10N
A person standing on the top of a cliff kicks a football into projectile motion. The ball is kicked horizontally at an initial velocity of
15 m/s, and it reaches the bottom of the cliff some time after. If the height of the cliff is 50 m, how many seconds does the ball take
to reach the ground?
The ball takes 3.194 seconds to reach the ground.
What is projectile?Any object launched into space with only gravity acting on it is referred to as a projectile. Gravity is the main force affecting a projectile. This doesn't imply that other forces don't affect it; it merely means that their impact is far smaller than that of gravity.
A projectile's trajectory is its route after being fired. The projectile is something like a baseball that is batted or hurled.
Given parameters:
Initial horizontal velocity; u₁ = 15 m/s.
Height of the cliff: h= 50 m.
There has no initial vertical velocity and in vertical motion the object moves under acceleration due to gravity.
So, let t be the time taken by the football to reach the ground, then:
h = 1/2gt²
⇒ 50 = 1/2 × 9.8 × t²
⇒ t = √(2×50/9.8) = 3.194 s.
Hence, the ball takes 3.194 second to reach the ground.
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A football player throws a football 30 meters in 2.5 seconds, What is the speed of the ball?
A football player throws a football 30 meters in 2.5 seconds, divide 30 by 2.5 and get 12.
What is Speed?
An object's speed, also known as "v," is the amount by which its position changes over time or by how much it changes per unit of time, making it a scalar number.
The instantaneous speed is the upper limit of the average speed as the duration of the time interval approaches zero. The average speed of an item in a period of time is equal to the distance traveled by the object divided by the duration of the period. Velocity and speed are not the same thing.
The parameters of speed are time divided by distance. The metre per second (m/s), the SI measure of speed, is the most widely used unit of speed in daily life.
Therefore, A football player throws a football 30 meters in 2.5 seconds, divide 30 by 2.5 and get 12.
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am ambulance with a siren emitting a whine at 1600 hz overtakes and passes a cyclist pedaling at 2.44 m/s fter being passed 1590 hz how fast is ambulance moving
When an ambulance with a siren emitting a whine at 1600 Hz overtakes and passes a cyclist pedaling a bike at 2.44m/s, the cyclist hears a frequency of 1590 Hz. the speed of The ambulance is 2.44625 m/s.
Since the cyclist is moving in the same direction as the ambulance, the relative speed between the two is the difference in their speeds.
Therefore, The relative speed between them is v = 1600 - 1590 = 10 Hz
For the observer, the ambulance appears to be moving away from him because the frequency heard by him is less than the actual frequency emitted by the ambulance.
As per the Doppler effect, the following formula can be used to determine the relative velocity between the source and observer:
v = (f₂ - f₁) / f₁
where v is the relative velocity between the source and observer, f₁ is the frequency of the source, and f₂ is the frequency heard by the observer.
Substituting the given values in the above formula, we get:
v = (1590 - 1600) / 1600 = -0.00625
The relative velocity is negative because the ambulance is moving away from the cyclist.
As the cyclist is moving at 2.44 m/s, and the relative velocity between the two is -0.00625, the velocity of the ambulance can be determined as follows:
v = 2.44 - (-0.00625) = 2.44625 m/s
Therefore, the speed of the ambulance is 2.44625 m/s.
Know more about Doppler effect here:
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If a car travels 20 km at a speed of 20km/h, what will the speed be for the remaining 20km if the average speed of the journey is 24km/h?
Answer:
12
Explanation:
avarage speed = total distance/total time
our total distance is 40km
the first 20km speed was 20km/h, so the time os 1 hour here
for the next 20km, we dont have the time, so let the time here be = x
so total time is x+1 km/h
and total distance is 40km
and the avarage is 24km/h
so =>
\( \frac{40}{1 + x} = 24\)
solve for x to find the time in the second 20km
so x=0.6
then find the speed of the second 20km by diving the distance on time =>
\( \frac{20}{0.6} = 12\)
so the speed in the second 20km is 12km/h
How much electrical energy is used by a 75 W laptop that is operating for 12
minutes?
O A. 27,000 J
B. 108,000 J
C. 900 J
O D. 54,000 J
Answer:
54,000 J
Explanation:
Given,
Power ( P ) = 75 W
Time ( t ) = 12 minutes
To find : Electrical energy ( E ) = ?
t = 12 minutes
= 12 x 60
t = 720 seconds
Formula : -
E = Pt
E = 75 x 720
E = 54,000 J
Therefore,
54,000 J is the electrical energy is used by a 75 W laptop that is operating for 12 minutes.