Assume that I stood at the boundary line of a football / baseball / cricket ground(without any turf/pitch/grass in it) - just a plain ground - like play ground. I have a ball that can bounce when thrown on this ground.
My question is - When I throw the ball at an angle to ground/horizontal plane, the ball takes a trajectory- which is very clear. However, after hitting the ground (that is at first bounce), it takes another trajectory and so on and so forth. Are all these trajectories same in their shape ( oror the underlying equation, describing the trajectory), except for the amplitude/ maximum height it can reach?
Pictorially - you can imagine many half circles, with diminishing upper halves forming the loci (strictly speaking - not, though), whose centres are collinear.
Please clarify.
Thanks.