Question

A car starts from rest and accelerates uniformly for a distance of 137 m over an 9.6-second time interval. The car's acceleration ism/s².

Answer 1

In order to solve this question, we will need to use kinematics

Let's see what is given to us:

Distance traveled is 137 meters

Time elapsed is 9.6 seconds

and inital velocity is 0 m/s

Since we are trying to find acceleration, we can use this formula

`\Delta x=v_0t+(1)/(2)at^2`

Where Δx is the distance traveled, v0 is the inital velocity, t is time, and a is acceleration

Plugging in what we have, we get

137 = 0(9.6) + 1/2(a)(9.6)^2

Solving for a, we get 2.97 m/s^2