Answer:
Impulse is equal to the change in momentum
Explanation:
The impulse exerted on an object is given by:
[tex]I=F \Delta t[/tex]
where
F is the force exerted on the object
[tex]\Delta t[/tex] is the duration of the collision
We can re-write the force F by using Newton's second law, F = ma:
[tex]I=(ma)\Delta t[/tex]
where m is the mass of the object and a its acceleration. Now we can rewrite the acceleration as ratio between the change in velocity and the time elapsed:
[tex]I=m \frac{\Delta v}{\Delta t}=m \Delta v[/tex]
and the product [tex]m \Delta v[/tex] is the change in momentum of the object.