A car accelerates uniformly from rest to 23 m/s over a distance of 30 meters.

Calculating the Acceleration of the Car

In this scenario, a car accelerates uniformly from rest to a velocity of 23 m/s over a distance of 30 meters. We are required to determine the acceleration of the car based on the given data.

Answer:

a = 17.69 m/s2

Explanation:

Step one:

Given data

A car accelerates uniformly from rest to 23 m/s

Initial velocity (u) = 0 m/s

Final velocity (v) = 23 m/s

Distance traveled = 30 m

Step two:

We know that acceleration (a) can be calculated using the formula:

acceleration = velocity / time

Also, we know that velocity can be calculated using the formula:

velocity = distance / time

Substitute the given values:

23 = 30 / t

t = 30 / 23

t ≈ 1.30 seconds

Therefore, the acceleration of the car is calculated as:

acceleration = 23 / 1.30

acceleration ≈ 17.69 m/s2

What is the acceleration of the car? The acceleration of the car is 17.69 m/s2.
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