Net Force regarding Impulse and Momentum

Question

I'm just going to preface this with: I don't know much, I've just started learning about impulse.

Question: If there is a change in velocity regarding momentum $P$ then would there be a net force on impulse: $F*\delta t $? because I'm assuming there will be acceleration. (hope this question makes sense)

Answer 1

A change in momentum $\vec p$ is what we call Impulse $\vec J$:

$$\vec J=\Delta \vec p$$

Now, set up Newton's 2nd law:

$$\sum \vec F=\frac{\Delta \vec p} {\Delta t}\quad\Leftrightarrow\quad \sum \vec F \Delta t=\Delta \vec p \quad\Leftrightarrow\quad \sum \vec F \Delta t=\vec J $$

So, yes, a change in velocity means a change in momentum, which means both that a nonzero total force is present and that an impulse is transferred.