Problem 2

Is it possible that the car could have accelerated to 55mph within 268 meters if the car can only accelerate from 0 to 60 mph in 15 seconds?

Solution:

Let us find the maximum acceleration of the car:

The car can accelerate from 0 to in 15 seconds. Then maximum acceleration is

If the car needs to accelerate to within 268 meters then its acceleration should be

This acceleration is less than the maximum possible acceleration, so the car can reach the speed 55 mph within 268 meters.