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## Homework Statement

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 v

_{0}=√(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).

## Homework Equations

Range = [v

_{0}

^{2}*sin(2θ)] / g

y = y

_{0}+ xtan(θ)-1/2gx

^{2}/(v

_{0}

^{2}*cos

^{2}(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...

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