Question

22. A race car accelerates from 0.0 m/s to 5 m/s with a displacement of 2.5 m. What is the

car's acceleration? a. 5 m/s? b. 7.5 m/s2 c. 12.5 m/s2 d. 2.5 m/s2
5-6

Answer 1

Option A

`5 m/s^(2)`

Step-by-step explanation:

From fundamental equation of motion

`v^(2)=u^(2)+2as` where v is the final velocity, u is the initial velocity, a is the acceleration of the body and s is the displacement.

Since the initial velocity is zero

`v^(2)=2as`

Making acceleration, a the subject of the formula then

`a=\frac {v^(2)}{2s}`

Substituting 5 m/s for v and 2.5 m for s then

`a=\frac {5^(2)}{2* 2.5}=5 m/s^(2)`