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