Answer:
B) the change in momentum.
Explanation:
The impulse is defined as the product between the force applied on an object (F) and the duration of the collision ([tex]\Delta t[/tex]):
[tex]J=F \Delta t[/tex] (1)
We can rewrite the force by using Newton's second law, as the product between mass (m) and acceleration (a):
[tex]F=ma[/tex]
So, (1) becomes
[tex]J=ma \Delta t[/tex]
Now we can also rewrite the acceleration as ratio between the change in velocity and change in time: [tex]a=\frac{\Delta v}{\Delta t}[/tex]. If we substitute into the previous equation, we find
[tex]J=m\frac{\Delta v}{\Delta t}\Delta t=m\Delta v[/tex]
And the quantity [tex]m\Delta v[/tex] is equivalent to the change in momentum, [tex]\Delta p[/tex].
