How long will it take a car, starting from rest, accelerating at 2 meters per second square to travel the same distance that another car traveling at a constant rate of 20m/s will travel?

20 seconds

Explanation:

Let be the distance traveled by the accelerating car and be the distance traveled by the car moving with a constant velocity. When they cover the same distance, we can write

where is the velocity of car moving at a constant rate and a is the acceleration of the accelerating car. Since the accelerating car started from rest, then is zero so our equation above simplifies to

Note that the variable t cancels out so solving for t, we get

Plugging in the given values,