After we exert the same constant force for the same short time interval, the increase in the cart’s speed

Question

A constant force is exerted for a short time interval on a cart that is initially at rest on

an air track. This force gives the cart a certain final speed. Suppose we repeat the

experiment but, instead of starting from rest, the cart is already moving with constant speed

in the direction of the force at the moment we begin to apply the force.

After we exert the same constant force for the same short time interval, the increase in the cart’s speed

1. cannot be determined from the information provided.

2. is equal to four times its initial speed.

3. is the same as when it started from rest.

4. is equal to the square of its initial speed.

5. is equal to two times its initial speed.

Answer 1

This is a problem that explores the impulse - momentum relationship:

FΔt = mΔv

In each case the Δv would be the same.

This is more of a "can you read the question carefully" exercise.