Hi guys. I've been a lurker for a while, but I've recently become super stumped on this physics question (physics is far from my forté). I've attached the graph of my bouncing ball. First, I had to identify the coefficients and what they mean. I understand that A is acceleration, B is initial velocity, and C is displacement. I understand that the graph is shifting, and B and C of the second bounce are not necessarily equal to those numbers. How do I find the true values of B and C for each subsequent bounce? 1. The problem statement, all variables and given/known data This is my graph: http://i.imgur.com/5pnfJY5.png 2. Relevant equations Y = Ax^2 + Bx + C y = y0 + vot + 1/2at^2 3. The attempt at a solution For the first bounce, I was able to find the initial height by doing: Y = Ax^2 + Bx + C, with x = 0.6 seconds Y = -4.460(0.6)^2 + 5.425(0.6) - 0.7426 Y = 0.9068 m And velocity: dy/dx = 2(-4.460)x + 5.425, with x = 0.6 seconds dy/dx = 0.073 m/s I believe I need to find these values in order to calculate the kinetic energy before and after impacts, and finding linear momentums - I have to fill out a chart like this one for seven bounces: I also have no mass for the ball, p is basically equal to the velocity. And I am told that PE must be equal to KE of the ball at the beginning and at the end of each interval of free flight.