Projectile motion toy cannon problem

[ILoveOranges]

Homework Statement

a toy cannon is placed on a ramp that has a slope of angle beta. if the cannonball is projected up the hill at an angle of theta above the horizontal and has a muzzle speed of V, show that the range R of the cannonball (as measured along the ramp) is given by:

Homework Equations

R= $$2v^2_{0}cos^2\theta_0(tan\theta_0-tan\phi_0)/gcos\phi_0$$

The Attempt at a Solution

i tried setting the x and y axes to match the ramp. this would make gravity acting on the cannon ball = $$cos\theta_0$$ . then i plugged that into y= $$\frac{1}{2} gt^2$$. but since the y final does not end at 0, i didn't know what to do from there. is there a way to find the y final on the ramp??

 

[rl.bhat]

Hi ILoveOranges, welcome to PF.
To check your calculations you have to post all your attempts.
You have to post the relevant equations.