Question

A motorcycle 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?

Answer 1

a)t=4.5s

b)t=4.5s

Step-by-step explanation:

Conceptual analysis

We apply the formula for (a) uniformly accelerated movement

`a=(vf-vi)/(t)`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?

`2= (25-16)/(t)`

`t = (25-16)/(2)`

`t = (9)/(2) =4.5s`

b)a=2 m/s², vi=54 m/s ,vf= 63m / s?

`2= (63-54)/(t)`

`t = (63-54)/(2)`

`t = (9)/(2) =4.5s`