A bouncing ball hits a blob of putty on the rebound upward

[Arsen1451]

Homework Statement

A ball of mass 9p is dropped from rest from a height H = 6.0 meters above the ground. It
undergoes a perfectly elastic collision (rebounds with the same speed in the opposite
direction) with the ground and rebounds. At the instant that the ball rebounds, a small
blob of class of mass p is released from rest from the original height H, directly above the
ball, which is ascending. Assume that g = 9.81 meters / second2
, that air resistance is
negligible, and that the collision process takes negligible time.
(a) Determine the speed of the ball immediately before it hits the ground.
(b) Determine the time after the release of the clay blob at which the collision takes
place.
(c) Determine the height above ground at which the collision takes place.
(d) Determine the speeds of the ball and the clay blob immediately before the collision.

Relevant Equations

I don't know

Please someone help me

 

[berkeman]

Homework Statement:: A ball of mass 9p is dropped from rest from a height H = 6.0 meters above the ground. It
undergoes a perfectly elastic collision (rebounds with the same speed in the opposite
direction) with the ground and rebounds. At the instant that the ball rebounds, a small
blob of class of mass p is released from rest from the original height H, directly above the
ball, which is ascending. Assume that g = 9.81 meters / second2
, that air resistance is
negligible, and that the collision process takes negligible time.
(a) Determine the speed of the ball immediately before it hits the ground.
(b) Determine the time after the release of the clay blob at which the collision takes
place.
(c) Determine the height above ground at which the collision takes place.
(d) Determine the speeds of the ball and the clay blob immediately before the collision.
Relevant Equations:: I don't know

Please someone help me

Please check your Personal Messages (PMs). You are required to post the Relevant Equations and show your Attempt at the Solution before we can offer tutorial help here at the PF.

So start with the basics -- what is the equation for the vertical motion of the ball as a function of time? Since air resistance is negligible, only the force of gravity is determining the acceleration of the mass downwards until it hits the ground. Then, after it bounces, the force of gravity is the only thing decelerating the mass (until it hits the blob). Please show the equations for the velocity and position of the ball as a function of time on the way down and on the way up. We can go from there once you post that work. Thank you.