Pushing a ball vs Punching a ball

[aerosmiths]

Homework Statement

Is there any difference between pushing a ball and punching a ball?
If so, which one would cause the ball to travel faster?
Assume force and mass is constant.

Homework Equations

F=ma

The Attempt at a Solution

Pushing a ball (without friction)
Let's say F=10N and m=0.1kg
Using Newton's Second Law
a=100m/s^2
...

Punching a ball (without friction)
...

I am stuck already. Please advice me step by step. Thank you.

 

[cupid.callin]

for punching, use the impulse ...

I = F = integral(dp/dt)
p is momentum