Question

A powerful motorcycle can accelerate from rest to 23.8 m/s (53 mi/h) in only 5.90 s.

(a)
What is its average acceleration in m/s2?

m/s2
(b)
How far does it travel in that time?

m

Answer 1

Let’s use the following equation to determine the acceleration.

vf = vi + a * t, vi = 0

29.8 = a * 1.9

a = 29.8 ÷ 1.9

The acceleration is approximately 15.68 m/s^2. Let’s use this acceleration in the following equation to determine the distance.

d = vi * t + ½ * a * t^2, vi = 0

d = ½ * (29.8 ÷ 1.9) * 1.9^2 = 28.31 meters

hope this helped!