# projectiles up a hill

by dan_and_sim
Tags: hill, projectiles
 P: 4 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 s−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?

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