Answer:
D) The force multiplied by the time the objects are in contact
Explanation:
The impulse is defined as the change in momentum of an object:
\(I=\Delta p\)
We know that momentum is the product between mas (m) and velocity (v), so assuming the mass of the ball to be constant, its change in momentum will be the product between the mass and the change in velocity:
\(I=\Delta p=m\Delta v\)
Now we can multiple and divide by \(\Delta t\), the time of collision:
\(I=m\Delta v \frac{\Delta t}{\Delta t}=m \frac{\Delta v}{\Delta t}\Delta t\)
But \(\frac{\Delta v}{\Delta t}\) is the acceleration, so:
\(I=m a \Delta t\)
And (ma) is the force, so we have
\(I=(ma)\Delta t=F\Delta t\)
