**5.** Matthew and Alex are sledding on a very icy hill on a cold Minnesota winter day. At one point, Alex is still sitting in his sled at the bottom of the hill (at rest) when Matthew starts to slide down the hill, starting at a negligibly small speed. Alex does not get out of the way, and a collision occurs.a) Assuming the collision is 100% inelastic, how fast will the combined sleds of Matthew and Alex be going after the collision?b) Assuming the collision is 100% elastic (for example, if the sleds had nice elastic bumpers) and that Alex and his sled are more massive than Matt and his sled, how far up the hill will Matthew and his sled rebound? For both A and B, you can define any measurable parameters needed, like masses of the boys and their sleds, height of the hill, etc., and state your answer in terms of any parameters needed.

Let the mass of Matthew and Alex be m and M. The initial velocity of both u and v. But, Alex's…

Answered: Matthew and Alex are sledding on a very…

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