You are playing catch with a friend in the hallway of your dormitory. The distance from the floor to the ceiling is D, and you throw the ball with an initial speed v0=√(6gD). What is the maximum horizontal distance (in terms of D) that the ball can travel without bouncing? (Assume the ball is launched from the floor).
Range = [v02*sin(2θ)] / g
y = y0 + xtan(θ)-1/2gx2/(v02*cos2(θ))
The Attempt at a Solution
I tried to use the equations and solve for x, without much luck. All my calculations ended up with alot of unknows...