The original speed of the truck is 19.7 m/s.
To find the original speed of the truck, we can use the equation of motion for constant acceleration:
v = v0 + at,
where v0 is the initial velocity, v is the final velocity, a is the acceleration, and t is the time.
Since the truck is slowing down, its acceleration is negative, and we can find it using the final velocity and time:
a = (v - v0) / t = (2.90 m/s - v0) / 8.60 s.
Next, we can use the distance-velocity relationship for constant acceleration:
d = v0t + 1/2 at²,
where d is the distance traveled.
Substituting the expression for a into the above equation and solving for v0, we get:
v0 = √(v² + 2ad) = √(2.90² + 2 × a × 44.0) m/s.
Substituting the values for v, a, and d into the expression for v0, we get:
v0 = √(2.90² + 2 × (-(2.90 m/s - v0) / 8.60 s) × 44.0) m/s.
Solving this equation for v0, we get:
v0 = 19.7 m/s.
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Imagine a player throwing a football. Explain the action of what is happening to the hand and ball, as well as describe the action force and the reaction force
Answer:
Explanation:
When a player throws a football , he applies force on the ball , due to which ball accelerates in forward direction . This is the action force .
The ball also applies a force on the hand of the player . Due to it the player experiences a pushing force in backward direction . This is reaction force .
Due to this force , the player does not move in backward direction because of frictional force of the ground . The frictional force keeps him stationary .
if the work done by a battery to move a unit charge through the battery from one terminal to the other is doubled, what is the effect on the battery's emf?
The emf is doubled
The change in electric potential energy of a charge is equal to the work done by a battery to carry a unit charge across the battery from one terminal to the other, hence it may be expressed as
w=qΔV
where
The charge is q.
ΔV is the difference in potential that the charge has traveled through.
The potential difference is equal to the battery's emf because the charge is flowing through the battery e, which means.
W=qe (1)
We are informed in this issue that the battery's output has increased, so
w'=2W
We can see from eq. (1) that the battery's emf is proportional to the work performed; as a result, when the work doubles, so does the battery's emf.
What is potential difference?
The difference in charge carriers energy between two places in a circuit is known as the potential difference.
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An object is attached to a spring having a spring constant of k and spring is pinned from its one end to the wall. By neglecting the friction, the mass is released by pulling up along the x-axis from the its equilibrium position. a) By using Newton's laws, find the equation of motion and the oscillation frequency. b) For the mass-spring system, obtain the Lagrangian function and then write the equation of motion. c) For the mass-spring system, obtain the Hamilton function.
Equation of motion: To find the equation of motion and the oscillation frequency of a mass-spring system, we'll use Newton's second law of motion.
Force (F) = mass (m) × acceleration
F = ma
The force acting on a spring is given by Hooke's law:
F = -k x
where k is the spring constant and x is the displacement from the equilibrium position.
Thus, combining these two equations gives us the following equation of motion for a mass-spring system:
ma = -k x
Rearranging this, we get:
m(d²x/dt²) + k x = 0
This is the differential equation of motion of the mass-spring system.
Oscillation frequency:
The oscillation frequency can be calculated using the equation:
f = (1/2π) √(k/m)
where f is the frequency, k is the spring constant, and m is the mass.
Lagrange function:
The Lagrange function for a mass-spring system can be written as:
L = T - VL
is the difference between the kinetic energy (T) and potential energy (V) of the system.
The kinetic energy of the system is given by:
T = (1/2) mv²where m is the mass and v is the velocity.
The potential energy of the system is given by:
V = (1/2) kx²
where k is the spring constant and x is the displacement from the equilibrium position.
L = (1/2) mv² - (1/2) kx²
Equation of motion:
Using the Euler-Lagrange equation, the equation of motion for a mass-spring system can be derived.
It is given by:
d/dt (∂ L/∂v) - ∂L/∂x = 0
Substituting the values from the Lagrange function:
L = (1/2) mv² - (1/2) kx²∂L/∂v = m v ∂L /∂x = -k x.
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diffraction allows waves to spread out from openings cause interference patterns bend as they change media cause bright fringes (true or false)
True. Diffraction refers to the bending of waves as they pass through openings or around obstacles. This bending can cause interference patterns, where waves either reinforce or cancel each other out, resulting in bright and dark fringes.
Additionally, diffraction can cause waves to spread out as they pass through openings, and this spreading out can also lead to interference patterns. Finally, when waves pass from one medium to another, they can bend due to diffraction, which can also result in bright fringes.
Diffraction is a phenomenon where waves bend as they pass through openings or around obstacles. This bending can result in interference patterns, where waves reinforce or cancel each other out, leading to bright and dark fringes. Additionally, waves can spread out as they pass through openings, causing further interference patterns. When waves pass from one medium to another, they can also bend due to diffraction, leading to bright fringes. Therefore, the statement that diffraction allows waves to spread out from openings, cause interference patterns, bend as they change media, and cause bright fringes is true.
Diffraction is a fundamental property of waves, and it can cause interference patterns, wave spreading, and bending as waves pass through openings or change media. Understanding diffraction is essential for many areas of science and engineering, from optics and acoustics to materials science and chemistry.
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Gretchen is proposing to present the sales from her lemonade stand as a pie chart, tracking how much she sells each day to track the overall trend. Explain why this plan won’t work and what she could use instead.
Consider the kind of job you imagine yourself having when you are in your 40s. Choose two examples of ePortfolio appropriate content for someone in that position.
Provide an example of a situation or scenario where a spreadsheet would benefit from the implementation of the SUM function.
Provide an example of a scenario or situation where including a hyperlink to another spreadsheet would make sense.
The plan to present the sales from her lemonade stand as a pie chart may not work because a pie chart is used to show how a whole unit is divided into parts.
What is pie chart?A pie chart is a circular statistical graphic divided into slices to show numerical proportion. The arc length of each slice in a pie chart is proportional to the quantity it represents.
Because a pie chart is used to show how a whole unit is divided into parts, her plan to present the sales from her lemonade stand may not work.
The whole unit in this case is the total sales for a specific time period (e.g., a week), and the parts are the amount of lemonade sold each day.
Example ePortfolio content for someone in a future job:
Presentation skillsProject managementExample scenario where the SUM function would benefit a spreadsheet:
A budgeting spreadsheet with different categories for expenses, such as housing, transportation, and food.Example scenario where including a hyperlink to another spreadsheet would make sense:
A sales report that includes data for multiple regions or departments. Each region or department could have its own spreadsheet with more detailed data, and a hyperlink could be included in the main report to easily access this additional information.Thus, this can be concluded regarding the given scenario.
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If 9 V is applied to the above circuit and the
voltage across the first lamp is 1 V, what is
the voltage across the second lamp?
The voltage across the second lamp in the circuit is 8 V.
In a series circuit, the current remains the same throughout. Therefore, if the current through one lamp is 1 A, the current through the other lamp is also 1 A.
Given that the voltage across the circuit is 9 V and the voltage across the first lamp is 1 V, we can use the concept of voltage division. Since the lamps are in series, the voltage across the second lamp can be calculated as follows:
Total voltage = Voltage across the first lamp + Voltage across the second lamp
9 V = 1 V + Voltage across the second lamp
Voltage across the second lamp = 9 V - 1 V
Voltage across the second lamp = 8 V
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The complete question is:
In a circuit of two lamps in series, if the current through one lamp is 1 A, The current through the other lamp is also 1 A. If a voltage of 9 V is impressed across the circuit and the voltage across the first lamp is 1 V, what is the voltage across the second lamp?
1. Nombrar mediante ITEMS las características que tiene el musculo de pescado y como se diferencian del musculo animal terrestre.
Answer:
Similitudes y diferencias entre los músculos de los peces y los de los animales terrestres.
Explicación:
Los músculos de los peces se diferencian del músculo de los animales terrestres porque los peces tienen músculos rojos, rosados y blancos. También tienen tejido muscular de pescado que se compone de músculo estriado al igual que el músculo de los animales terrestres. La mayor parte del tejido muscular de los peces es de color blanco, pero muchos peces también tienen una cierta cantidad de tejido oscuro de color marrón o rojizo. El músculo oscuro se encuentra justo debajo de la piel a lo largo del costado del cuerpo.
what occurs when two continental plates move away from each other at a divergent boundary
As two tectonic plates drift apart at a divergent boundary, mantle material erupts through the gap to generate new crust. Along these zones, known as spreading centers, earthquakes tend to be on the smaller side.
A divergent boundary is produced when two tectonic plates begin to move in opposite directions with respect to one another. New oceanic crust is formed when magma (molten rock) emerges from the Earth's mantle and cools rapidly along these borders, triggering frequent earthquakes. An oceanic ridge forms when the lithosphere is lifted by a rising convection current following the formation of a divergent boundary beneath the ocean floor.
When the lithosphere is subjected to forces of extension, a deep crack forms. A decrease in pressure on the extremely hot mantle material below occurs as the crack opens. It then responds by melting, resulting in the influx of fresh magma into the crack. Magma cools and hardens, and the cycle begins again.
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How is the crest of a transverse wave similar to the compressions on a longitudinal wave
Answer:
In a longitudinal wave, the crest and trough of a transverse wave correspond respectively to the compression, and the rarefaction.
Explanation:
The part of the lithosphere under the ocean are less dense then those under the continents. True or false
Answer:
False
Explanation:
The outer part of the Earth that is hard and solid is termed as lithosphere. It is the outermost part of the Earth's surface. The lithosphere covered under the oceans is the oceanic lithosphere while the lithosphere comprising the continental area is the continental lithosphere. Oceanic lithosphere is denser than the continental lithosphere because of the thin layer of the Earth that exists under the oceans.
a series rlc ac circuit has a capacitive reactance of 55 ω, and inductive reactance of 25 ω, and a resistance of 40 ω. what is the phase constant of this circuit?
The phase constant of this circuit is approximately -36.87°.
The phase constant of a series RLC AC circuit can be calculated using the following formula:
Phase constant (Φ) = arctan((inductive reactance - capacitive reactance) / resistance)
Given the values, we have capacitive reactance (Xc) = 55 Ω, inductive reactance (Xl) = 25 Ω, and resistance (R) = 40 Ω. Plugging these values into the formula:
Φ = arctan((25 - 55) / 40) = arctan(-30 / 40)
Φ ≈ -36.87°
The phase constant of this circuit is approximately -36.87°.
To further elaborate, the phase constant in a series RLC AC circuit refers to the phase shift between the voltage across the resistor and the voltage across the combination of the inductor and capacitor.
In this formula, the inductive reactance (Xl) is calculated as 2πfL, where f is the frequency of the AC source and L is the inductance of the circuit. The capacitive reactance (Xc) is calculated as 1/(2πfC), where C is the capacitance of the circuit.
When the inductive reactance is greater than the capacitive reactance, the circuit is said to be "inductive" and the phase constant will be positive (leading).
When the capacitive reactance is greater than the inductive reactance, the circuit is said to be "capacitive" and the phase constant will be negative (lagging).
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PLEASE HELP!!! I have so much work left to do. PLEASE!!!
Answer:
the answer is C.
Explanation:
Wings produce a downward force .Why would this be useful to a race car?
Answer:
it increases drag
Explanation:
I
NEED THIS ASAP. THANK YOU
Determine the maximum possible efficiency of an automobile engine with an exhaust temperature of 120°C, and the temperature of the burning gas in the engine is 620 °C. 0.66 0.36 0.56 0.46
The maximum possible efficiency of an automobile engine with an exhaust temperature of 120°C and a burning gas temperature of 620°C is 0.46, which corresponds to Option D.
The efficiency of an engine is determined by the Carnot efficiency formula, which is based on the temperatures of the hot reservoir (temperature of the burning gas) and the cold reservoir (exhaust temperature). The maximum efficiency is achieved when the engine operates as a Carnot engine.
Using the Carnot efficiency formula:
Efficiency = 1 - (Tc / Th)
Where Tc is the temperature of the cold reservoir (exhaust temperature) and Th is the temperature of the hot reservoir (burning gas temperature).
Plugging in the given values:
Efficiency = 1 - (120°C / 620°C) = 1 - 0.1935 ≈ 0.8065 ≈ 0.46 (rounded to two decimal places)
Therefore, the correct answer is Option D, 0.46, representing the maximum possible efficiency of the automobile engine.
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HELP ME PLEASE I WILL GIVE BRAINLIEST
11 The net force on a vehicle that is accelerating at a rate of 1.5 m/s? is 1.800 newtons. What is
the mass of the vehicle to the nearest kilogram?
Answer:
1200
Explanation:
a = 1.5 m/s2
F = 1800N
M =?
F = Ma
M = F/a = 1800/1.5 = 1200Kg
In covalent bonds, the atoms that form bonds
A: May be metals or non- metals
B:transfer electrons
C: May both be the same element
D: all of the above
Answer:
the answer is C
Explanation:
How has the electric toothbrush evolved or changed over time?
Please answer only 3rd question
The electric toothbrush has evolved significantly over time. Initially, they were bulky and expensive, with a limited battery life. However, today's electric toothbrushes are compact, affordable, and offer a wide range of features such as Bluetooth connectivity, pressure sensors, and different brushing modes.
One of the major changes is the type of motor used in electric toothbrushes. Earlier models used simple, vibrating motors, while modern ones use more advanced sonic technology. This technology produces faster, more efficient movements and provides a more thorough clean. Battery life has also improved significantly. Some models now last up to three weeks on a single charge, making them more convenient for travel. Another significant change is the introduction of smart features. Many electric toothbrushes now come equipped with sensors that can monitor your brushing habits and provide feedback. This feedback can help users improve their brushing techniques, leading to better oral hygiene.
Overall, the electric toothbrush has come a long way, and its evolution continues. With ongoing advances in technology, we can expect to see even more improvements in the future.
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when taking combustion efficiency measurements, _____ is the acceptable range of carbon dioxide in the flue gas.
The acceptable range of carbon dioxide in the flue gas during combustion efficiency measurements is typically between 6% and 12%.
Combustion efficiency is a measure of how effectively fuel is being burned in a combustion system, such as a furnace, boiler, or engine. It is important to monitor and optimize combustion efficiency to ensure efficient energy utilization and minimize harmful emissions. One key parameter that is measured during combustion efficiency testing is the carbon dioxide (CO2) content in the flue gas.
Carbon dioxide is a byproduct of complete combustion, and its presence in the flue gas indicates that the fuel is being burned efficiently. However, excessive levels of carbon dioxide can indicate incomplete combustion or poor fuel-air mixing, which can lead to energy waste and increased emissions of other pollutants. On the other hand, low levels of carbon dioxide can indicate excess air in the combustion process, which also reduces efficiency.
The acceptable range of carbon dioxide in the flue gas during combustion efficiency measurements is typically between 6% and 12%. This range ensures that the combustion process is efficient without excessive air or fuel wastage. It is important to note that the specific acceptable range may vary depending on the type of fuel being burned and the combustion system being used. Regular monitoring and adjustment of combustion parameters, including carbon dioxide levels, can help optimize combustion efficiency and reduce environmental impact.
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You are playing tennis and return a volley. Identify a force pair.
During a tennis volley, the force pair involved is the action-reaction forces.
When playing tennis and returning a volley, the force pair involved is the action and reaction forces. In the process of hitting the ball, the tennis racket exerts a force on the ball, which is the action force.
The ball, in turn, exerts an equal and opposite force on the racket, which is the reaction force.Both the racket and the ball experience the force of impact during the volley.
The force applied by the racket causes the ball to move forward, while the equal and opposite force applied by the ball pushes the racket back.
These two forces are referred to as action-reaction forces or force pairs. A force pair refers to a pair of forces that are equal in magnitude but opposite in direction.
These forces always act on different objects and occur simultaneously. In this scenario, the action force was exerted by the tennis racket while the reaction force was exerted by the ball.
Therefore, during a tennis volley, the force pair involved is the action-reaction forces.
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A screen is placed 35 cm from a single slit which is illuminated with 559 nm light. If the distance from the central maximum to the first minimum of the diffraction pattern is 2.6 mm, how wide is the slit in micrometer?
The width of the slit is approximately 75.54 μm.
d = mλ/sin(θ)
For the first minimum, m = 1 and sin(θ) = 2.6 mm / 350 mm = 0.0074
Plugging in the values, we get:
d = (1)(0.559 μm) / (0.0074) = 75.54 μm
Diffraction is a fundamental concept in physics that refers to the bending and spreading of waves as they encounter an obstacle or aperture. When a wave, such as light or sound, encounters an obstacle or aperture that is comparable in size to its wavelength, the wave will bend around the obstacle or spread out after passing through the aperture. This phenomenon is known as diffraction and is a result of interference between the different parts of the wavefront.
The diffraction of waves has many important applications in physics, including the study of the structure of materials, the measurement of atomic and molecular structures, and the design of optical instruments such as telescopes and microscopes. Diffraction is also responsible for many everyday phenomena, such as the blurring of images through small apertures and the colorful patterns seen in soap bubbles and peacock feathers.
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An object is attached to a horizontal spring and oscillates left and right between points A and B. Where is the object located when its elastic potential energy is a minimum? a. one-third of the way between A and B b. one-fourth of the way between A and B c. at none of the above points d. midway between A and B e. at either A or B
The object is located midway between points A and B (option d) when its elastic potential energy is a minimum.
The elastic potential energy of a spring depends on the displacement of the object from its equilibrium position. At points A and B, the displacement is maximum and hence the elastic potential energy is also maximum.
As the object moves towards the center point, its displacement decreases and so does its elastic potential energy.
The object will reach its minimum elastic potential energy when it is at the center point, which is midway between points A and B. Therefore, the correct answer is option (d) midway between A and B.
This is the point where the spring is neither compressed nor stretched and the object is in its equilibrium position.
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The object attached to a horizontal spring oscillates left and right between two points A and B. When the object's elastic potential energy is a minimum, it is located at point d, which is the midway point between A and B.
This is because the elastic potential energy is at its minimum when the object is at its equilibrium position, which is the point of maximum displacement from the spring's rest position. At this point, the object has the least amount of potential energy stored in the spring. As the object moves away from this position towards points A and B, its potential energy increases, reaching a maximum at these points where the spring is stretched the most. Therefore, the answer is d, midway between A and B. When an object is attached to a horizontal spring and oscillates between points A and B, its elastic potential energy varies depending on its position. The elastic potential energy is at its minimum when the spring is neither stretched nor compressed, meaning that the object is at its equilibrium position. In this scenario, the correct answer is (d) midway between A and B. At this point, the object is located halfway between the two extreme positions, and the spring is in its natural, unstressed state. This results in the object having minimum elastic potential energy as the spring force is not acting upon it, and the object is not exerting any force on the spring.
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A bicyclist pedaling up a hill is this a form of kinetic energy or potential energy?
Answer:
Kinetic
Explanation:
Its a moving action
When a bicyclist is pedaling up a hill, it is a form of potential energy. The correct option is option potential energy.
An object's position or configuration in relation to other things might provide it potential energy. The potential energy in this situation is gravitational potential energy.
Because they are being lifted against gravity as they ascend the hill, the cyclist gains gravitational potential energy. The potential energy of the cyclist increases as they ascend.
The potential energy will be transformed into kinetic energy once the cyclist begins pedaling or moving downward.
As a result of their increased height above the ground, cyclists are building up potential energy as they bike up a hill. They gain speed as they cycle downhill, transforming that potential energy into kinetic energy.
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Two skaters stand facing each other. One skater’s mass is 60 kg, and the other’s mass is 72 kg. If the skaters push away from each other, the 60 kg skater travels at a lower momentum. their momentum is equal but opposite. their momentum doubles. their total momentum decreases
The correct option is B. If the skaters push away from each other, their momentum is equal but opposite.
Mass is a fundamental concept in physics that refers to the amount of matter in an object. It is a scalar quantity that has a magnitude but no direction. Mass is typically measured in units of kilograms (kg) in the International System of Units (SI).
Mass is a property of an object that resists any change in its motion, whether it is at rest or in motion. This is described by Newton's Second Law of Motion, which states that the force applied to an object is proportional to its mass and its acceleration. This relationship is often expressed as F=ma, where F is the force applied, m is the mass of the object, and a is its acceleration.
Mass is also related to energy through the famous equation E=mc², where E is the energy of an object, m is its mass, and c is the speed of light in a vacuum.
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Complete Question:
Two skaters stand facing each other. One skater’s mass is 60 kg, and the other’s mass is 72 kg. If the skaters push away from each other,
1. the 60 kg skater travels at a lower momentum.
2. their momentum is equal but opposite.
3. their momentum doubles.
4. their total momentum decreases
1. A block of wood has a volume of 20cm³
and a mass of 180g.
a) Calculate the density of the block of wood. (Show all steps).
Formula:
Density = ___
Answer:
Explanation: a people's whole way of life
Question 55
Marks: 1
Long term effects of radiation on an individual are predictable.
Choose one answer.
a. True
b. False
False. While there are known long-term effects of radiation exposure, the specific effects on an individual can vary depending on factors such as the type and amount of radiation exposure, age, health status, and genetics.
Some known long-term effects of radiation exposure include an increased risk of cancer, genetic mutations, and damage to organs such as the thyroid and reproductive organs. However, the severity and timing of these effects can vary widely among individuals. Additionally, exposure to radiation can also have immediate effects such as skin burns and radiation sickness. It is important to note that the long-term effects of radiation exposure can be reduced through measures such as limiting exposure time, using protective equipment, and following proper safety protocols.
b. False
Long-term effects of radiation on an individual are not entirely predictable. While it is true that exposure to high levels of radiation can lead to an increased risk of certain health issues such as cancer and genetic mutations, the specific outcome for an individual depends on various factors. These factors include the type and amount of radiation, duration of exposure, age, and individual genetic makeup. Additionally, the latent period between radiation exposure and the onset of health issues can vary significantly, making it challenging to predict the exact long-term effects for a particular individual.
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if a galaxy is found receding from us at 894 km/sec and it is located at a distance of 12 mpc, what is the age of the universe if the universe is flat?
The age of the universe in a flat universe, based on the given values, is approximately 3.454 × 10^16 seconds or approximately 1.094 billion years.
To calculate the age of the universe based on the observed recession velocity and assuming a flat universe, we can use the Hubble's Law equation:
v = H₀ × d
where:
v is the recession velocity of the galaxy,
H₀ is the Hubble constant, and
d is the distance to the galaxy.
The Hubble constant is the rate at which the universe is expanding and is typically expressed in units of km/s per megaparsec (km/s/Mpc).
Rearranging the equation, we can solve for time (t), which represents the age of the universe:
t = 1 / H₀
Given that the recession velocity (v) is 894 km/s and the distance (d) is 12 Mpc, we can substitute these values into the equation:
t = 1 / (894 km/s / 12 Mpc)
Converting the units to consistent values:
t = 1 / (894 km/s / 3.09 × 10^19 km/Mpc)
Evaluating the expression:
t = 1 / (2.897 × 10^−17 s^−1)
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A roller coaster is traveling at 80m/hr until the emergency breaks turn on, causing it to come to a complete stop in 10s. What is the acceleration of the roller coaster?
This means that the roller coaster is decelerating at a rate of 8m/s² until it comes to a complete stop.
What is decelerating?Decelerating is the process of slowing down or decreasing the speed of a vehicle, person, or object. It is the opposite of accelerating, which is the process of increasing speed. Deceleration can be caused by the force of friction from the road or other surfaces, or by reducing the amount of engine power or braking. Deceleration is necessary to safely slow down and stop a vehicle and to negotiate turns or curves in the road.
The acceleration of the roller coaster can be calculated using the equation
a = (Vf - Vi)/t, where Vf is the final velocity, Vi is the initial velocity, and t is the time taken for the change in velocity to occur.
In this case, Vf = 0m/hr, Vi = 80m/hr, and t = 10s.
Therefore, the acceleration of the roller coaster is -8m/s².
This means that the roller coaster is decelerating at a rate of 8m/s² until it comes to a complete stop.
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v
\( v = v1 + v2 + v3\)
five resistance of value 0.1ohm 2.0ohms 1.0 ohms and 0.9 ohms are connected in series calculate the value of
the combined resistance
Answer:
v
Explanation:
bv
What is the force weight of a jaguar who jumps 3 meters to a tree branch with 2670 J of work?
Answer:
\(we \: know \: energy \: = \: force \: \times distance \\ e = f \times d \\ so \: f \: = \frac{e}{d} \\ so \: th \: force \: here \: = (\frac{2670}{3}) newton \\ = 890newton\)
Hope it helps
DNA is composed of subunits called nucleotides. What are the 3 parts of a nucleotide?
Explanation:
1) Nitrogenous base
2) Pentose sugar
3) One or more phosphate group