Kinematics Equations Video Lessons

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Problem: A car accelerates from 13 m/s to 23 m/s in 6.5 s.(a) What was its acceleration? Assume constant acceleration.(b) How far did it travel in this time? Assume constant acceleration.

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For this problem, we're asked to find the acceleration and distance traveled by a car given its initial velocity, final velocity, and the time it takes to change speeds.

When solving problems with uniformly accelerated motion (UAM), Step Zero is making sure that the acceleration is constantotherwise our kinematics equations don’t apply. Then we'll follow these steps to solve the problem:

  1. Identify the target, known and unknown variables for each part of the problem—remember that only 3 of the 5 variablesx, v0, vf, a, and t) are needed to solve any kinematics problem.
  2. Choose a UAM equation with only one unknown, which should be our target variable.
  3. Solve the equation for the target variable, then substitute known values and calculate the answer.

The four UAM (kinematics) equations are:

 vf = v0 +atx= (vf+v02)tx= v0t+12at2 vf2= v02 +2ax

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Problem Details

A car accelerates from 13 m/s to 23 m/s in 6.5 s.
(a) What was its acceleration? Assume constant acceleration.
(b) How far did it travel in this time? Assume constant acceleration.

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