The Acceleration of a Car

Calculating the Acceleration of a Car

A car accelerates uniformly from rest to a speed of 20 m/s in 8 seconds. The mass of the car is 1200 kg. We need to calculate the acceleration of the car.

Given:

Initial velocity (u) = 0 m/s

Final velocity (v) = 20 m/s

Time (t) = 8 seconds

Mass (m) = 1200 kg

Using the formula for acceleration:

a = (v - u) / t

Substitute the values:

a = (20 - 0) / 8 = 20 / 8 = 5 / 2 m/s2

Now, calculate the force (f) using Newton's Second Law:

f = ma = 1200 * 5 / 2 = 600 * 5 = 3000 N

Therefore, the acceleration of the car is 5/2 m/s2 and the force exerted on the car is 3000 N.

What is the acceleration of the car and the force exerted on it when it accelerates uniformly from rest to a speed of 20 m/s in 8 seconds with a mass of 1200 kg? 5/2 m/s2 and 3000 N respectively.
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