Projectiles up a hill

  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 alpha = Pi/8. The
    cannonball is projected up the hill at an angle of pheta above the horizontal (see
    figure) and has a muzzle speed of v0 = 4.2 m sāˆ’1.

    (a) Given pheta = Pi/5, compute R, the range of the cannonball, as measured
    along the ramp.
    (b) What angle  do you have to choose to ensure that the cannonball flies
    horizontally when hitting the ramp?
    (c) What angle  do you have to choose to obtain maximal range R?

    2. Relevant equations

    3. The attempt at a solution
    The only way i can think to calculate this is by considering the slope of the hill to be the ground level and then correcting gravity by splitting it into gcos(pi/8) and gsin(pi/8)

    would this approach yield the correct results?
  2. jcsd
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