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

Answer:

Option A

$5 m/s^{2}$

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

$a=\frac {5^{2}}{2\times 2.5}=5 m/s^{2}$