AP Physics Momentum/Collision problem.. 1. The problem statement, all variables and given/known data "A projectile of mass M is fired at an angle Theta (with the horizontal) from a cannon of mass 4M and velocity V on a friction-less flat surface. Determine Theta such that the distance from the end of the cannon (the hole of the cannon) to the projectile's peak is at a maximum. Hint: Let v = 1." Answer: Theta = 50.49 degrees." Theta, Mass, and Velocity are variables. 2. Relevant equations change in Y distance = V(initial)T - 1/2gt^2 Not sure if there are any other ones.. 3. The attempt at a solution I drew this out with the cannon, on a frictionless flat surface, firing a projectile as such. Then, from there, after drawing out the Velocity vector on the mass, I attempted to break up my velocity vectors into the proper dimensional component: where the velocity in the X = vcos(theta) and velocity in the Y = vsin(theta) from there I have no clue what to do. I've tried a couple of different things but I'm not sure how my teacher obtained a numerical value as the answer. He said to let V = 1 which I am clueless when to apply that. Thank you very much for helping!