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Projectiles up a hill 
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#1
Oct2310, 07:49 AM

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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