Discussion and hints:

Recall the following four-step plan outline in the lecture book and discussed in lecture:

Step 1: FBDs
Draw two free body diagrams: one for each body individually.

Step 2: Kinetics (linear impulse/momentum)
Write down the linear impulse/momentum equation for each body individually. Note that the change in momentum of each particle is the same, and is equal to the area under the F(t) vs. t curve.

Step 3: Kinematics
None needed here.

Step 4: Solve
Solve for the speed of each body from the above equations.

Any questions??