Question

A powerful motorcycle can accelerate from rest to 24.8 m/s (55 mi/h) in only 5.90 s. (a) What is its average acceleration in m/s?? m/s² (b) How far does it travel in that time? m

Answer 1

Answer

given,

initial speed,u = 0 m/s

final speed,v = 24.8 m/s

time, t= 5.9 s

a) acceleration,

$a=\dfrac{v-u}{t}$

$a=\dfrac{24.8 - 0}{5.9}$

     a = 4.20 m/s²

b) distance to travel in that time

using equation of motion

   v² = u² + 2 as

   24.8² = 0² + 2 x 4.20 x s

       8.4 s = 615.04

          s = 73.22 m

the motorcycle will travel 73.22 m