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**AP Physics Momentum/Collision problem..**

## Homework Statement

"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.

## Homework Equations

change in Y distance = V(initial)T - 1/2gt^2

Not sure if there are any other ones..

## 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!

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