A Fun Physics Challenge: Determining Car Acceleration

What is the acceleration of a car that starts from rest and accelerates uniformly over a time of 5.0 seconds for a distance of 100 m?

The acceleration of the car is 4 m/s^2.

"A car starts from rest and accelerates uniformly over a time of 5.0 seconds for a distance of 100 m. Determine the acceleration of the car" is as follows:
To determine the acceleration of the car, we can use the formula:
acceleration = (final velocity - initial velocity) / time.
Given that the car starts from rest (initial velocity is 0 m/s), the final velocity is the unknown, and the time is 5.0 seconds, we can rearrange the formula to solve for acceleration:
acceleration = (final velocity - 0) / 5.0.
Since the car is accelerating uniformly, the distance traveled can also be related to acceleration:
distance = (initial velocity * time) + (0.5 * acceleration * time^2).
Plugging in the values of distance (100 m) and time (5.0 seconds), and substituting the initial velocity as 0 m/s, we can solve for the final velocity:
100 = 0 + 0.5 * acceleration * 5.0^2.
Simplifying the equation:
100 = 0.5 * acceleration * 25.
Dividing both sides of the equation by 0.5 * 25:
4 = acceleration.
Therefore, the acceleration of the car is 4 m/s^2.