Question

What would happen if a moving car comes to rest with constant acceleration and the acceleration were to remain constant after the car comes to rest?

Answer 1

Analyzing the motion of the car in the given situation:

1. In the given case, the car is coming to rest with constant acceleration. This means it is decelerating which is nothing but negative acceleration.
2. So, the direction of acceleration and the initial velocity of the car are opposite.
3. The velocity of the car will decrease due to the constant acceleration and eventually, it will come to rest
4. Even after coming to rest, the constant acceleration keeps on acting on the car.
5. As a result, the car begins to move in the opposite direction of the initial move as the acceleration is acting in the negative direction.

Thus, the car will begin to move in the opposite direction if it comes to rest with constant acceleration and the acceleration were to remain constant after the car comes to rest.