How to Calculate the Constant Acceleration of a Car?

What is the given data?

A car accelerates uniformly from rest to a speed of 58.3 mi/h in 9.47 s.

What are we trying to find?

Find the constant acceleration of the car.

Answer:

Acceleration = 2.5 m/s^2

When a car accelerates uniformly from rest to a speed of 58.3 mi/h in 9.47 s, we can use the formula:

Acceleration = Change in Velocity / Time Taken

First, we need to convert the speed from miles per hour (mi/h) to meters per second (m/s). We know that 1 mi/h is approximately equal to 0.44704 m/s. Therefore, 58.3 mi/h is equal to 58.3 x 1609.34 / 3600 = 24.28 m/s.

Next, we can calculate the acceleration using the formula:

Acceleration = (24.28 m/s - 0 m/s) / 9.47 s = 2.56 m/s^2

Therefore, the constant acceleration of the car is 2.56 m/s^2.