The Acceleration of a Car Starting from Rest

Calculation of Car Acceleration

A car starts from rest and accelerates uniformly over a time of 5.21 seconds for a distance of 110.0 m.

Determine the acceleration of the car.

What are the given values in the problem?

The given values are:

Initial velocity, V0 = 0 m/s

Time, t = 5.21 seconds

Distance, S = 110.0 meters

The acceleration of the car can be calculated using the formula:

S = V0t + 1/2 at^2

Since V0 = 0 m/s, the formula simplifies to:

S = 1/2 at^2

Therefore, the acceleration, a = 2S / t^2

Substitute the values of S and t into the formula:

a = 2(110m) / (5.21s)^2

a = 8.10 m/s^2