1. The problem statement, all variables and given/known data At which minimum velocity should you throw the ball horizontally if you are standing on a hemispherical rock of radius R so that it at no point touches the rock and lands at the minimum distance from the rock horizontally. Find the expression that solves for initial velocity and woth that velocity calculate the distance traveled from the rock by the ball. 2. Relevant equations X=Xi + Vcosu(t) Y=Yi + Vsinu(t) - g/2 (t^2) Vx=Vcosu Vy=Vsinu - gt 3. The attempt at a solution It is definatelly clear that yf= 0 and yi=R From there t=x/V and 0=R-(1/2)gt^2 i gey R=(1/2)g(x^2/V^2), where to fo from here? x cant be R its path is oarabolic and would hit the rock if set on R and v is also unknown. It seems that there must be another correlation between y, x and R that i could use, but i dont see it.