# Predicting a target for a ramp, using projectile motion and dynamics

1. Nov 12, 2007

### emma3001

1. The problem statement, all variables and given/known data

I have this question where I need to determine how high up to place a metal ball on a ramp, having been given the ramp's target. The mass of the metal ball is 66.62g. To make things even more complicated, near to the end of the ramp, there is a loop-the-loop. The ramp ends at an angle of 17 degrees and the length of the upwards ramp at the end is 0.285m. How do I know the height at which to put the ball on the ramp?

2. Relevant equations

range x g= (initial velocity)squared x sin2(17 degrees)

3. The attempt at a solution

I thought that I could get the initial velocity by using the above equation but I now realize that that is assuming that the y displacement is zero but the loop-the-loop is lower (in a sink) than where the ball lands (on the table).
1. The problem statement, all variables and given/known data

2. Relevant equations

3. The attempt at a solution