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.