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## Homework Statement

Assuming that the rock launched by a catapult is released from ground level, show that the theoretical maximum range is:

R=2Mh/m, where M = mass of counterweight

m = mass of rock

h = height counterweight falls

## Homework Equations

Ep=mgh

Ek=(mv^2)/2

## The Attempt at a Solution

I equated the two expressions and then split the velocity into its components so this splits the Ek up into horizontal and vertical but I cant progress from here