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Homework Help: Projectile motion toy cannon problem

  1. Sep 29, 2009 #1
    1. The problem statement, all variables and given/known data

    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:

    2. Relevant equations

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

    3. 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 = [tex]cos\theta_0[/tex] . then i plugged that into y= [tex] \frac{1}{2} gt^2[/tex]. 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??
  2. jcsd
  3. Sep 29, 2009 #2


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    Homework Helper

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