It starts saying that impulse is related to velocity in a certain way. What is that relationship?

I just said impulse = force x time
and momentum = mass x velocity

So would that be a correct answer to what they're wanting?

Also, it says there is a relationship to be found between pairs of forces in certain situations. What is that relationship?

I'm not sure how to answer this one.

Thank you in advance.

Impulse is mass times change in velocity

because
Force * time = change of momentum = change of m v = m * change of v if m is constant

Pairs of forces probably refers to Newton's third law, for every force there is an equal and opposite force.

Yes, you are on the right track with the relationship between impulse and velocity. The relationship is derived from Newton's second law of motion, which states that force is equal to the rate of change of momentum. In equation form:

Force = change in momentum / time

Now, impulse is defined as the change in momentum. Rearranging the equation, we have:

Impulse = force x time

So you have correctly stated that impulse is equal to force multiplied by time.

As for the relationship between pairs of forces in certain situations, it seems like you are referring to Newton's third law of motion. This law states that for every action, there is an equal and opposite reaction. It means that when two objects interact with each other, the force that object A exerts on object B is equal in magnitude but opposite in direction to the force that object B exerts on object A.

In equation form:

Force A on B = -Force B on A

So, when there is a pair of forces acting on two objects, the relationship is that the forces have equal magnitudes but opposite directions. This is a fundamental principle in understanding interactions between objects.