Acceleration question (should be easy?)

  • Thread starter David Donald
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In summary, the person is accelerating uniformly from 4.0 m/s to 8.0 m/s in a time of 4.0 s. Using the kinematics equation, the magnitude of their acceleration is calculated to be 1.0 m/s^2. However, there may be an error in the given solution, as it is stated that the correct answer is 0.8 m/s^2. It is recommended to double check the problem statement and time given to confirm the correct answer.
  • #1
David Donald
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Homework Statement


A person runs in front of you. The person accelerates uniformly from 4.0 m/s to 8.0 m/s in a time of 4.0 s.
What is the magnitude of the acceleration of the person during the 4.0 s?

Homework Equations


Kinematics

The Attempt at a Solution


Vfx = Vox + at
(Vfx - Vox)/t = a

so (8m/s - 4m/s)/(4s) = a = 1.0 m/s^2

this is wrong though, so what am i failing to understand here?
 
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  • #2
It looks right to me. Does the book give a reason for its answer? Perhaps the book's answer is wrong - they sometimes are.
 
  • #3
apparently it should be 0.8 m/s^2 ?
 
  • #4
Check the problem statement. Perhaps the time was 5s, not 4.
 

What is acceleration?

Acceleration is the rate of change of an object's velocity over time. It is a measure of how much an object's speed is increasing or decreasing per unit of time.

What is the formula for acceleration?

The formula for acceleration is a = (vf - vi)/t, where a is acceleration, vf is final velocity, vi is initial velocity, and t is time.

How is acceleration measured?

Acceleration is typically measured in meters per second squared (m/s²) or feet per second squared (ft/s²). It can be measured using tools such as accelerometers or by analyzing an object's change in position over time.

What are some examples of acceleration?

Examples of acceleration include a car speeding up, a ball falling towards the ground, and a rocket launching into space. In each of these cases, the velocity of the object is changing over time, resulting in acceleration.

How does acceleration differ from velocity?

Velocity is a vector quantity that describes both the speed and direction of an object, while acceleration is a vector quantity that only describes the rate of change of an object's velocity. In other words, acceleration tells us how quickly an object's velocity is changing, while velocity tells us how fast and in which direction an object is moving.

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