Question

If the ball has lost half the magnitude of its
impact momentum immediately after it recoils, to what height does the ball reach after
its first rebound?

Answer 1

Well, momentum is a linear function of the velocity, so the lounch velocity from the ground would be half as well. Think about the velocities now. With half the velocity what height will it get? Think about the energy in the begining and at the end of the movement.
I'm assuming you want that in relation to the initial height.

Answer 2

@CliffSedge please dont give the pure answer

Answer 3

I never do. ;-)

Answer 4

I was just about to agree with you that this is best thought of in terms of conservation of mechanical energy.

Answer 5

Oh, sorry. Its just that people have been doing that a lot.

Answer 6

Yeah, it bugs me too. I am a professional math tutor, and I am a big fan of the Socratic method.

Answer 7

I don't know what the socratic method is, but it must work, because i've been trying to keep up with you in these last questions but you explain really well, much better then me haha.
I'm just a student of physics so far, so I don't have lot of experience.