Answer:
yes.
Explanation:
Answer:
yes
Explanation:i am THE Amalee
Calculate the net force on the particle q1.
Answer:
-12.1
Explanation:
i’m almost sure this is it, i’m checking my old answers
if not let me know and i’ll give you some more answers
A wave has an amplitude of 0.0800 m
and is moving 7.33 m/s. One oscillator
in the wave takes 0.230 s to go from
one crest to the next crest. Find the
wavelength of the wave.
(Unit = m)
If a wave has an amplitude of 0.0800 m and is moving 7.33 m/s. The
wavelength of the wave is 1.69m.
What is the wavelength?The wavelength of a wave can be determined using the equation:
Wavelength = velocity / frequency
To determine the frequency we need to calculate the reciprocal of the time it takes for one complete oscillation.
frequency = 1 / time
frequency = 1 / 0.230
frequency ≈ 4.35 Hz
Substitute the values into the wavelength equation:
wavelength = velocity / frequency
wavelength = 7.33 / 4.35
wavelength ≈ 1.69m
Therefore the wavelength of the wave is approximately 1.69 meters.
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A bowling ball is dropped on a moon from the height of 14 m. The acceleration of gravity on the moon is 4 m/s2. Determine the time it took for the ball to crash at the surface. Round your answer to the nearest whole number.
b. 1 s
c. 4 s
d. 3 s
Answer:
4sec
Explanation:
Since we know the initial velocity=0, acceleration = -4; and the displacemnt =14, we use the equation d = vi • t + ½ • a • t2. So, just plug in the values and solve for t in this case it's 4 sec
A body is said to be in freefall when it moves solely under the influence of gravity.
The time it took for the ball to crash at the surface = 3 sec.
What do you mean by the free fall?A body is said to be in freefall when it moves solely under the influence of gravity. The ball's motion will be accelerated by an external force acting on it. This free-fall acceleration is also known as gravity acceleration.Free fall is a type of motion in which gravity is the only force acting on an object. Objects that are said to be in free fall do not encounter significant air resistance; they fall solely under the influence of gravity.acceleration of gravity on the moon is 4 m/s^2.
the height of 14 m.
The formula for free fall:
\(h= \frac{1}{2}gt^2\)
t^2 = 2h /g = 2 x 14 /4 = 7
t = \(\sqrt{7} = 2.65\) sec ≅ 3 sec.
The time it took for the ball to crash at the surface = 3 sec.
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a particle is launched sich that it's maximum range is 26.4m.what is the speed at which it is launched?
how long will it take for a motorcycle to come to a stop from 35 m/s if it slows down with an acceleration of -12m/s/s?
Answer:
It would take 3 seconds approximately.
Explanation:
since it's going to stop it's final velocity is 0m/s
Now,
acceleration = (v-u)/t
or, a = (0-35)/t
or, -12 = -35/t
or, t = -35/-12
so, t = 2.9 seconds.
Which planet has rings and less gravity than Saturn?
Answer: Neptune
Explanation:
Explanation:
neptune is correct
mark as brainlist
A car accelerates from rest at a rate of 8.1 m/s2. How much time does it take the car to travel a distance of 65 meters?
Answer:
ोोञककतकषगकषषमषघ
Explanation:
zzjjjfkgkzgkggkkkammmmmmatAllzy##pglCsg
______________________________
A Stone Is Dropped Into a Deep Water Well. The Sound of The Stone Hitting The Water Is Heard After 3.4 Seconds. Determine The Depth of The Water Well.
N.B. The Correct Answer Will Receive 30 Points & The Brainliest Title.
______________________________
A Stone Is Dropped Into a Deep Water Well. The Sound of The Stone Hitting The Water Is Heard After 3.4 Seconds. then The Depth of The Water Well is 56.6 m.
In terms of physics, sound is a vibration that travels through a transmission medium like a gas, liquid, or solid as an acoustic wave. Sound is the receipt of these waves and the brain's perception of them in terms of human physiology and psychology. Only acoustic waves with frequencies between about 20 Hz and 20 kHz, or the audio frequency range, may cause a human to have an auditory sensation. These correspond to sound waves in air with an atmospheric pressure of 17 metres (56 ft) to 1.7 centimetres (0.67 in) in wavelength. Ultrasounds are sound waves with a frequency higher than 20 kHz that are inaudible to humans. Infrasound refers to sound frequencies below 20 Hz. Animals of different species have different hearing ranges. Acceleration of the stone is 9.8 m/s²
according to kinematics,
s = ut + 1/2 at²
s = 1/2 ×9.8×3.4²
s = 56.6 m
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A plane is traveling horizontally at a speed u = 40 m/s at a height h =
100m above ground when it drops a package, as shown in the figure.
How long it takes the dropped package to reach the ground and where?
Answer:
First get the time in the air from
h = gt2/2 ⇒
t = √(2h/g)
Plug in
h = 100 m
g = 9.8 m/s2
and get t in seconds. Then multiply t by the constant horizontal speed.
x = vt
Plug in
v = 40 m/s
t = ? (result from above)
and get x in meters.
(b)
Vertical speed:
v(t) = v0 + gt
Plug in
v0 = 0
g and t from above
and get v(t) in m/s.
(c) It is the same as the initial velocity when released, which is 40 m/s.
(d) The horizontal component is the same as the answer for part (c). The vertical component is the result for part (b), in the downward direction.
Two billiard balls of equal mass move at right angles and meet at the origin of an xy coordinate system. Ball A is moving upward along the y axis at vA = 1.6 m/s , and ball B is moving to the right along the x axis with speed vB = 5.1 m/s . After the collision, assumed elastic, ball B is moving along the positive y axis
a)What is the final direction of ball A?
b) What are their two speeds?
a ) The final direction of ball A is along x-axis in positive direction.
b ) The speed of ball A is 5.1 m / s and that of ball B is 1.6 m / s
In an elastic collision between two objects of same mass, the balls would move at right angles with each other. So, it is given that, the final direction of ball B is along positive Y-axis. So the final direction of ball A must be perpendicular to that direction which is positive x-axis.
The initial velocity of ball A = 1.6 m / s
The initial velocity of ball B = 5.1 m / s
In an elastic collision between two objects of same mass, the balls would exchange velocities.
Final velocity of ball A = 5.1 m / s
Final velocity of ball B = 1.6 m / s
Therefore,
a ) The final direction of ball A is along x-axis in positive direction.
b ) The speed of ball A is 5.1 m / s and that of ball B is 1.6 m / s
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A 52.07kg cannon has a recoil velocity of 7.75m/s after it launches a 9.06kg projectile horizontally. The cannon ball hits a 26.28kg target (haystack) several meters away. It takes only 0.32 seconds for the cannon ball to pass through the target breaking it into two segments of equal mass one launching at 27.89 degrees off center in the x, the other 39.62 degrees off center in the y. Assume the cannon ball continues in a true horizontal trajectory.what is the momentum of the cannon ball before the collision with the haystack?
Given data:
* The mass of the cannon is 52.07 kg.
* The recoil velocity of the cannon is 7.75 m/s.
* The mass of the cannon ball is 9.06 kg.
Solution:
By the law of conservation of the momentum,
The momentum of the cannon ball before the collision is the same as the momentum of the cannon ball from the cannon.
The momentum of the cannon ball from the cannon is,
\(p=mv\)where m is the mass of the cannon and v is the recoil velocity of the cannon,
Substituting the known values,
\(\begin{gathered} p=52.07\times7.75 \\ p=403.54kgms^{-1} \end{gathered}\)Thus, the momentum of the cannon ball before the collision is 403.54 kgm/s.
Suppose the water at the top of Niagara Falls has a horizontal speed of 2.73 m/s just before it cascades over the edge of the falls. At what vertical distance below the edge does the velocity vector of the water point downward at a 52.9 ° angle below the horizontal?
Answer:
required vertical distance below the edge is 0.6648 m
Explanation:
Given the data in the question;
Horizontal speed of water falls v = 2.73 m/s
direction of water falls 52.9° below the horizontal
The vertical velocity must be such that;
tanθ = v\(_y\) / v\(_x\)
Now, vertical speed of water falls;
v\(_y\) = v\(_x\) × tanθ
we substitute
v\(_y\) = 2.73 × tan(52.9°)
v\(_y\) = 2.73 × 1.322237
v\(_y\) = 3.6097
Now, at the top of falls, initial speed u = 0
v² - u² = 2as
s = ( v² - u² ) / 2as
we substitute
s = ( 0² - (3.6097)² ) / (2 × 9.8)
s = 13.029934 / 19.6
s = 0.6648 m
Therefore, required vertical distance below the edge is 0.6648 m
A gust of wind blows an apple from a tree. As the apple falls, the force of gravity on the apple is 9.13 N downward, and the force of the wind on the apple is 1.31 N to the right. What is the magnitude of the net external force on the apple? Answer in units of N.
Answer: See the diagram,from the vevtor addition we can say,net force acting on the apple is =
√
2.25
2
+
1.05
2
+
2
⋅
2.25
⋅
1.05
cos
90
=
2.48
N
And,this resultant force makes an angle of
tan
−
1
(
1.05
2.25
)
or,
25
degrees w.r.t vertical
Two trains, each having a speed of 33 km/h, are headed at each other on the same straight track. A bird that can fly 60 km/h flies off the front of on train when they are 60 km apart and heads directly for the other train. On reaching the other train, the (crazy) bird flies directly back to the first train, and so forth. What is the total distance the bird travels before the trains collide?
Answer:
66 km
Explanation:
Given that:
The speed of the two trains = 33 km/h
The speed of the bird = 60 km/h
The distance apart between the two trains = 60 km
From the given information, we are being told that the two trains are going at the same speed. Therefore, they will definitely collide at 30 km
We know that:
speed of the train = distance traveled × time
Making the time t the subject of the formula:
time = speed of the train / distance traveled
time = 30 km / 33 km/h
time = 0.909 / hr
Thus, the bird flying at a given speed of 60 km/h in a time of 0.909 / hr will cover a total distance of :
distance (d) = speed of the bird/ time
distance (d) = \(\dfrac{60 \ km/hr}{0.909 \ /hr}\)
distance (d) = 66 km
A shaft carries five masses A, B, C, D and E which revolve at the same radius in planes
which are equidistant from one another. The magnitude of the masses in planes A, C and
D are 50 kg, 40 kg and 80 kg respectively. The angle between A and C is 90° and that
between C and D is 135°. Determine the magnitude of the masses in planes B and E and
their positions to put the shaft in complete rotating balance.
The magnitude of the masses in planes B and E is 40 kg, and their positions are 120° and 240°, respectively, from the reference point on the shaft to achieve complete rotating balance.
To achieve complete rotating balance, the sum of the moments of the masses in planes A, C, D, B, and E should be equal to zero. Let's determine the magnitude of the masses in planes B and E and their positions.
Consider the moments of the masses in planes A, C, and D. The moment of a mass is given by the product of its magnitude and the sine of the angle between the mass and a reference line. The moments of masses A, C, and D are:
Moment of A = 50 kg * sin(0°) = 0 kg·m,
Moment of C = 40 kg * sin(90°) = 40 kg·m,
Moment of D = 80 kg * sin(135°) = -80 kg·m.
Since the moments of A, C, and D are known, we can use the principle of complete rotating balance to determine the magnitude and position of the masses in planes B and E.
Let's assume the magnitude of the masses in planes B and E as M. The moments of masses B and E can be represented as:
Moment of B = M * sin(120°) = M * √(3)/2,
Moment of E = M * sin(240°) = -M * √(3)/2.
Using the principle of complete rotating balance, the sum of the moments should be zero. Thus, we have:
Moment of A + Moment of C + Moment of D + Moment of B + Moment of E = 0.
0 + 40 kg·m + (-80 kg·m) + M * √(3)/2 + (-M * √(3)/2) = 0.
Simplifying the equation:
40 kg·m - 80 kg·m + M * √(3)/2 - M * √(3)/2 = 0,
-40 kg·m = 0.
From the equation, we can deduce that M must be equal to 40 kg to satisfy the condition of complete rotating balance.
Finally, we determine the positions of masses B and E. Since planes A, C, D, B, and E are equidistant from one another, and the angle between A and C is 90°, we divide the circle into 360°/5 = 72° sections. Thus, the positions of masses B and E are:
Position of B = 0° + 2 * 72° = 144°,
Position of E = 0° + 4 * 72° = 288°.
Therefore, the magnitude of the masses in planes B and E is 40 kg, and their positions to put the shaft in complete rotating balance are 144° and 288°, respectively, from the reference point on the shaft.
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Amy buys a laptop charger in Barbados. On the back it says rated for for Barbados 115Volts. Explain whether there has been a mistake. Show calculation to support answer. Refer to EMS
Here, we are given a velocity-time graph which shows how the main voltage varies in Barbados.
Let's solve for the following:
• (a) What is the peak voltage.
Peak voltage can be said to be the highest point of voltage.
From the given graph, the peak voltage is 160 volts.
• (b) What is the frequency.
To find the frequency, apply the formula:
\(F=\frac{1}{T}\)Where:
T is the time taken to complete one full revolution.
Here, T = 0.02 seconds
Hence, we have:
\(\begin{gathered} F=\frac{1}{0.02} \\ \\ F=50\text{ Hz} \end{gathered}\)The frequency is 50 Hz.
• (c) Amy buys a laptop charger in Barbados. On the back it says rated for for Barbados 115Volts. Explain whether there has been a mistake.
In appliances, the RMS voltage is always written on the back.
To find the RMS volatge using the graph, we have:
\(V_{RMS}=\frac{V_o}{\sqrt[]{2}}\)Where Vo is the peak voltage = 160 v.
Hence, we have:
\(\begin{gathered} V_{\text{RMS}}=\frac{160}{\sqrt[]{2}} \\ \\ V_{\text{RMS}}=113.14\text{ v} \end{gathered}\)In this case, the rated voltage on the back of the charger is 115 volts where the RMS voltage is 113.14 volts. Therefore, we can say there is a mistake.
An artillery shell is fired at a target 200 m above the ground. When the shell is 100 m in the air, it has a speed of 100 m/s. What is its speed when it hits its target?
The speed of the artillery shell when it hits its target is 100 m/s.
Given:
Initial vertical displacement (y) = 200 m
Vertical displacement at 100 m in the air (y') = 100 m
Final velocity in the vertical direction (vy') = 0 m/s (at the highest point of the trajectory)
Using the equation for vertical displacement in projectile motion:
y' = vy^2 / (2g),
where g is the acceleration due to gravity (approximately 9.8 m/s^2), we can solve for the initial vertical velocity (vy).
100 m = vy^2 / (2 * 9.8 m/s^2),
vy^2 = 100 m * 2 * 9.8 m/s^2,
vy^2 = 1960 m^2/s^2,
vy = sqrt(1960) m/s,
vy ≈ 44.27 m/s.
Now, since the horizontal motion is independent of the vertical motion, the horizontal speed of the shell remains constant throughout its trajectory. Therefore, the speed of the shell when it hits its target is 100 m/s.
Hence, the speed of the artillery shell when it hits its target is 100 m/s.
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How could you make a feather and a rubber ball hit the ground at the same time?
Answer:
If you take out air they'll fall at the same time
Explanation:
for example a closed umbrella will fall faster than an open one because the air is holding the opened umbrella back
Question 10 of 10 Which image shows an example of the strong nuclear force in action?
A swimmer pushing off from the wall of a pool exerts a force of 1 newton on the wall. What is the reaction force of the wall on the swimmer?
Answer: 1 Newton
Explanation:
"Every action has an equal and opposite reaction."
Please mark as Brainliest if it is correct.
Force is an action-reaction principle. It stated that the force always exists in a pair. The reaction force of the wall on the swimmer will be 1N.
What is Newton's third law of motion?Newton's third law of motion state that every action has an equal and opposite reaction. It is an action-reaction principle. It stated that the force always exists in a pair.
Both occur in an action-reaction form. Hence for every action, there is an equal and opposite reaction.
\(\rm F_{action}=F_{reaction} \\\\ \rm F_{action= 1N\)
\(\rm F_{reaction} = 1N\)
Hence the reaction force of the wall on the swimmer will be 1N.
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A 42.6kg lamp is hanging from wires as shown in figure.The ring has negligible mass. Find tensionsT1, T2,T3 if the object is in equilibrium.
Answer:
T1 = 417.48N
T2 = 361.54N
T3 = 208.74N
Explanation:
Using the sin rule to fine the tension in the strings;
Given
amass = 42.6kg
Weight = 42.6 * 9.8 = 417.48N
The third angle will be 180-(60+30)= 90 degrees
Using the sine rule
W/Sin 90 = T3/sin 30 = T2/sin 60
Get T3;
W/Sin 90 = T3/sin 30
417.48/1 = T3/sin30
T3 = 417.48sin30
T3 = 417.48(0.5)
T3 = 208.74N
Also;
W/sin90 = T2/sin 60
417.48/1 = T2/sin60
T2 = 417.48sin60
T2 = 417.48(0.8660)
T2 = 361.54N
The Tension T1 = Weight of the object = 417.48N
if a gold atom is considered to be a cube with sides 2.5x10^-9m, how many gold atoms could stack on top of one another in gold foil with a thickness of 1.0x10^-7m?
This question involves the concepts of thickness and length.
"40" gold atoms could stack on top of one another in the gold foil.
NO. OF GOLD ATOMS THAT CAN STACKWe will use the unitary method here to find out the no. of gold atoms that could stack on top of each other in the gold foil of thickness 1 x 10⁻⁷ m, when the side length of each cubic atom is 2.5 x 10⁻⁹ m.
Therefore,
2.5 x 10⁻⁹ m thick gold foil can stack = 1 gold atom1 m thick gold foil can stack = \(\frac{1}{2.5\ x\ 10^{-9}\ m}\) gold atoms1 x 10⁻⁷ m thick gold foil can stack = \(\frac{1\ x\ 10^{-7}\ m}{2.5\ x\ 10^{-9}\ m}\) gold atoms1 x 10⁻⁷ m thick gold foil can stack = 40 gold atomsLearn more about thickness here:
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Under a pressure of 862 Pa, a gas has a volume of 752 L. The pressure is increased, without changing the temperature, until the volume is 624 L. What is the new pressure?
Claims that if temperature is kept constant, the end result of both volume and pressure is constant. The new level is 1036 Pa, which is how this can be expressed.
How does pressure work?So either a strong force or a strong force applied over a short area can cause a lot of pressure. When we stand up compared to when we are walking, more of our feet are in proximity to the earth. Pressure would be lower if there was more surface area in contact.
Describe a force?An external force is an agent that has the power to alter the resting or moving condition of a body. It has a direction and a magnitude. There are both living things and non-living objects in the concept of a force.
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Please solve step by syep
Answer:
0.258 +- 0.0162
Explanation:
First change the uncertainty to percentage uncertainty :
%uncertainty =uncertainty /estimated value *100
0.1/51.6 * 100=0.19%
Do the same for the rest you will get:
0.1%, 1%, 5%
Then add the %uncertainties
0.19% + 0.1% + 1% +5%=6.29%
Find density:
51.6/10 * 100 * 0.20 = 0.258
Change the %percentage uncertainty to absolute uncertainty :
Absolute uncertainty = %uncertainty * the answer
6.29/100 * 0.258 = 0.0162
Answer = 0.258 +- 0.0162
After rounding:
0.26 +- 0.02
Select the correct answer from each drop-down menu. Danica observes a collision between two vehicles. She sees a large truck driving down the road. It strikes a small car parked at the side of the road. Complete the passage summarizing the collision. On colliding, the truck applies a force on the stationary car, and the stationary car applies and opposite force on the truck. The front of the truck is designed to crumple in order to , which protects the well-being of the passengers.
The front of the truck is designed to crumple during a collision to absorb the impact energy, slow down the collision, and protect the well-being of the passengers. This design feature helps increase the collision time, reduce the forces acting on the passengers, and minimize the risk of severe injuries.
Danica observes a collision between two vehicles. She sees a large truck driving down the road. It strikes a small car parked at the side of the road. On colliding, the truck applies a force on the stationary car, and the stationary car applies an opposite force on the truck. The front of the truck is designed to crumple in order to absorb the impact energy and slow down the collision , which protects the well-being of the passengers.
During a collision, the principle of Newton's third law of motion comes into play. According to this law, for every action, there is an equal and opposite reaction. In the case of the collision between the truck and the car, the truck exerts a force on the car, pushing it forward, while simultaneously experiencing an equal and opposite force from the car.
The purpose of designing the front of the truck to crumple is to increase the collision time and absorb the kinetic energy. When the truck collides with the stationary car, the front of the truck deforms, crumples, and absorbs a significant amount of the impact energy. This process increases the time over which the collision occurs, reducing the forces acting on the passengers and minimizing the risk of severe injuries.
By allowing the truck to crumple, the kinetic energy of the collision is transformed into other forms, such as deformation energy and heat. This energy transformation helps protect the passengers by reducing the deceleration forces acting on them. It also helps prevent the transfer of excessive forces to the car's occupants and reduces the likelihood of severe injuries.
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Download the attached Word Document and follow the instructions to complete the lab. Please be sure to to answer all questions.
Copy and paste your answer in the box below or attach a Word Document (.doc or .docx) or PDF (.pdf).
Topic: The Effect of Temperature on Enzyme Activity in Plants
Hypothesis: I predict that as the temperature increases, the rate of enzyme activity in plants will also increase. As the temperature decreases, the rate of enzyme activity in plants will decrease.
Temperature is the measure of the average kinetic energy of the particles in a substance. It is measured in degrees Celsius (°C), Fahrenheit (°F), or Kelvin (K). Temperature is determined by the amount of heat present in a substance, which is a measure of the average kinetic energy of its particles. Heat is the energy transferred from a hotter object to a cooler one. When two objects of different temperatures come into contact, heat will flow from the hotter object to the cooler one until both objects reach the same temperature. Temperature can be affected by many factors, such as the weather, the amount of sunlight, and the activity of the particles in a substance.
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A light string is wrapped around a spool (shape is unknown, thus you do not know moment of inertia I) of radius 0.5 m. A 5.0-kg mass is hung from the string, causing the spool to rotate and the string to unwind. The spool rotates from rest to 10 rad/s in 2 s. Find (a) the angular acceleration of spool, (b) moment of inertia I, and (c) the tension on the string.
Answer:
a) angular acceleration α = 5 rad/sec
b) MOI = 1.25 kgm^2
c) Tention in the string T = 12.5 N
Explanation:
The solution to the question has been provided in the attachment, please refer to that.
. A steel bar 35mm by 35mm in section and 100mm in length is acted upon by a tensile load of 180KN along its longitudinal axis and 400kN and 300kN along the axes of lateral surfaces as shown in figure 2 below. Determine: (i) change in the dimensions of the bar (ii) change in volume Take E = 205 GPa Poisson's ratio (v) = 0.3
(i) The change in length is 8.78 x 10⁻⁸ m and the change in the width is -2.63 x 10⁻⁸ m
(ii) The change in volume of the bar is 7.53 x 10⁻¹¹ m³.
What is the change in the dimensions of the bar?
The bar undergoes elongation and reduction in cross-sectional area due to the applied loads.
Using the formula for longitudinal strain, we can calculate the change in length (ΔL) as follows:
ΔL = (180 × 10³ N) x (100 × 10⁻³ m) / (205 × 10⁹ N/m²)
ΔL = 8.78 x 10⁻⁸ m
The change in width (Δb) can be calculated using the formula for lateral strain:
Δb = -v x ΔL = -0.3 x ΔL
Δb = -0.3 x 8.78 x 10⁻⁸ m
Δb = -2.63 x 10⁻⁸ m
The change in volume can be calculated as follows:
ΔV = (35 × 10⁻³ m) x (35 × 10⁻³ m) x (ΔL + Δb)
ΔV = (35 × 10⁻³ m) x (35 × 10⁻³ m) x (ΔL - 0.3 x ΔL)
ΔV = (35 × 10⁻³ m) x (35 × 10⁻³ m) x (8.78 x 10⁻⁸m -2.63 x 10⁻⁸ m)
ΔV = 7.53 x 10⁻¹¹ m³
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What is the acceleration at 3 seconds?
Please explain your answer. Thank you :]
Answer:
\(-3 m/s^{2}\)
Explanation:
Acceleration on a VT graph is the slope of the line at the given point. We can find the slope at 3 with Δy/Δx. This gives us (4-2)/(3-(-3)) which works out to be -3m/s^2
A mountain lion jumps to a height of 3.25 m when leaving the ground at an angle of 43.2°. What is its initial speed (in m/s) as it leaves the ground?
Recall that
\({v_f}^2={v_i}^2+2a\Delta y\)
where \(v_i\) and \(v_f\) are the lion's initial and final vertical velocities, \(a\) is its acceleration, and \(\Delta y\) is the vertical displacement.
At its maximum height, the lion has 0 vertical velocity, so we have
\(0={v_i}^2-2gy_{\rm max}\)
where g is the acceleration due to gravity, 9.80 m/s², and we take the starting position of the lion on the ground to be the origin so that \(\Delta y=y_{\rm max}-0=y_{\rm max}\).
Let v denote the initial speed of the jump. Then
\(v_i=v\sin(43.2^\circ)=\sqrt{2\left(9.80\dfrac{\rm m}{\mathrm s^2}\right)(3.25\,\mathrm m)}\implies\boxed{v\approx11.7\dfrac{\rm m}{\rm s}}\)
The initial speed will be "11.7 m/s".
Speed and Displacement:Given:
Height = 3.25 mAngle = 43.2°Acceleration due to gravity = 9.8 m/s²We know,
→ \(vf^2=v_i^2+2a\Delta y\)
At max. height, vertical height be zero, then
→ \(0 = v_i^2-2gy_{max}\)
or,
→ \(\Delta y = y_{max} -0 = y_{max}\)
now,
The initial speed,
→ \(v_i = v \ Sin(43.2^{\circ})\)
By substituting the values,
\(= \sqrt{1\times 9.8\times 3.25}\)
\(= 11.7 \ m/s\)
Thus the solution above is correct.
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