A Car's Acceleration Calculation Problem

The Problem

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

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

Initial velocity is 0 m/s

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

Δx = v₀t + 1/2at²

Where Δx is the distance traveled, v₀ is the initial 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/s².