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One Dimensional Kinematics Example:

A car accelerates uniformly from rest to 20 m/s in 5 seconds. Determine the acceleration of the car and the distance traveled.


First, you calculate the acceleration by subtracting the initial velocity from the final velocity and then dividing by the time.

vf - vi = 20 - 0 = 20 m/s

a = 20 / t = 20 / 5 = 4 m/s^2


Next, you calculate the displacement by multiplying the initial velocity by the time and adding that to the product of one-half times the acceleration times the time squared.

d = (vi * t) + (.5 * a * t^2)

d = (0 * 5) + (.5 * 4 * 5^2) = 50 m