Stephen H. answered 03/22/21
Tutor of Math, Physics and Engineering ... available online
First ... use conservation of energy (mgh=.5mv2) to find the velocity of m1 just before the collision with m2 to be 0.713 m/s.
Second use conservation of momentum (.5*.713=.5V1f+V2f) to develop an equation relating the velocities after the collision.
Third ... use conservation of energy during an elastic collision to develop another equation relating the velocities after collision (.5m1.7132=.5m1V1f2+.5m2V2f2).
Fourth ... solve the system of two equations to find V1f=-.333m/s and V2f=.310 m/s (answer a)
Fifth ... use kinematic equation v1f2/2g = h to find the height that m1 rebounds = .00565 m (answer b)
Sixth ... use kinematic equations .5gt2 to find the amount of time it takes to fall 2 m = .639 seconds
Seventh ... use kinematic equation (d=vt) to find the distance traveled for M2= .198m (answer c)
eighth ... realize that M1 will go back up the ramp, reverse and come back down and leave the ramp at the same velocity it had after the collision (.333 m/s).
ninth ... use kinematic equation (d=vt) to find the distance traveled for m1 = .213 m (answer d)