If you put a ball somewhere on a slope and it rolls down, how far will it go when the ramp is at some hight over the ground and the output angle is something.Do not take in account friction or air resistance.
The Attempt at a Solution
When u put the ball in the slope it should have the possible energy of mgh relative to the output, and at the putput it should be (mv^2)/2.
So if the output angle should be 0 the output speed should be (2gh)^0.5.
Then the distance should be the ((2gh)^0.5)*(2s/g)^0.5 where s is the height from the output from the slope to the ground.
I wonder how the output angle will effect this, the ball will get some speed vertically aswell.
Some tips or help would be nice :)