Question

Suppose a car would accelerate from rest to 41 miles per hour in 25 seconds. What would be the value of this acceleration (in miles per hour squared), if you assume it is a constant acceleration?

Answer 1

Answer: 5904 miles per hour squared.

Explanation:

Formula for acceleration : $a=\dfrac{v-u}{t}$ , where v = Final velocity

u= Initial velocity

Given :  A car would accelerate from rest to 41 miles per hour in 25 seconds.

i.e. u= 0   (at rest)

v=  41 miles per hour

t=  25 seconds. = $\dfrac{25}{3600} =\dfrac{1}{144}\ hour$   [Since 1 hour = 3600 seconds]

We assume that it is a constant acceleration.

Substitute all the values in the formula , we get

$a=\dfrac{41-0}{\dfrac{1}{144}}=41\times144\\\\=5904\ \text{miles per hour squared}$

Hence, the value of this acceleration is 5904 miles per hour squared.