Amotorcycle has a constant acceleration of 2 m/s2. both the velocity and acceleration of the motorcycle point in the same direction. (a) how much time is required for the motorcycle to change its speed from 16 m/s to 25 m/s? s (b) how much time is required for the motorcycle to change its speed from 54 m/s to 63 m/s?

a)t=4.5s

b)t=4.5s

Explanation:

Conceptual analysis

We apply the formula for (a) uniformly accelerated movement

formula (1)

a; acceleration in m/s²

vi:initial speed in m/s

vf:final speed in m/s

Problem development

a)We replace the known data in the formula (1)

a=2m/s², vi=16 m/s  ,vf= 25 m/s?  

b)a=2 m/s², vi=54 m/s  ,vf= 63m / s?