## Answers

#### Explanation:

The *impulse force* or *impulse* is a force exerted during a small, defined interval of time. The change in momentum of an object,

#J=int_(t_i)^(t_f)F(t)dt=Deltap#

Because the ball rebounds **elastically**, we know that kinetic energy is also conserved in the collision. Therefore, we know that when the ball rebounds, it has the *same* magnitude of velocity, but in the *opposite direction*.

**Momentum conservation**:

#DeltavecP=0#

#=>vecp_f=vecp_i#

So we have:

#=>color(crimson)(Deltap=mv_f-mv_i#

**We have the following information:**

#|->m=15"kg"# #|->v_i=8"m"//"s"# #|->v_f=-8"m"//"s"#

Therefore:

#Deltap=(15"kg")(-8"m"//"s"-8"m"//"s")#

#=-240" kgm"//"s"#

Note that the negative sign indicates direction.

So we have:

#J=Deltap#

#=>color(darkblue)(=240" kgm"//"s")#

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