Calculating Work Conceptual Question

[BugsSport]

Homework Statement

A certain amount of work Wo is required to accelerate a car from rest to a speed v. How much work is required to accelerate the car from rest to v/2?

Homework Equations

W = Fd

The Attempt at a Solution

I know that if we were finding the distance instead of velocity, then the answer would be
Wo/2, but I'm not sure if the force is the same for each situation. If it is, then I assume that the answer would also be Wo/2.

 

[Doc Al]

I know that if we were finding the distance instead of velocity, then the answer would be
Wo/2, but I'm not sure if the force is the same for each situation. If it is, then I assume that the answer would also be Wo/2.

What makes you think the distance would be 1/2?

What does the Work-Energy theorem tell you?