What Happens to Forces and Motion When Variables Change?

[needhelpfast]

Homework Statement

Leaving all other quantities unchanged, what happens in the scenarios below?
• If you use a cart with half the mass, you cover distance during pushing.
• If you push twice as long, you reach final speed.
• If you push twice as long, you cover distance during pushing.
• If you double the force, you reach final speed.

Homework Equations

i think f=ma

The Attempt at a Solution

I thought the answers were double, double, half, double, but these are wrong. Any help is greatly appreciated!

 

[Heimisson]

This is sort of confusing...

I would use s=0.5at^2

and v=a*t

based on this

1) double, because a=2F/m

2) twice as long distance or time?

if time double

3) 4x, because t is in the power of 2

4) you should be able to figure this one out now.

 

[needhelpfast]

Thanks for your help!