Ceiling height for a game of catch. Two boys "play catch" with a ball in a long hallway. The ceiling...

Question

Ceiling height for a game of catch. Two boys "play catch" with a ball in a long hallway. The ceiling height is H, and the ball is thrown and caught at shoulder height, which we call h for each boy, If the boys are capable of throwing the ball with velocity , at what maximum separation can they play?

Q

Robert · Accepted Answer

If H>h: 
Time of flight: 
 02 sinv
t
g

   (1) 
The maximum height the ball can reach: 
2 2
0
max
sin
2
v
H H h
g

   (2)  
2
2
0
2( )
sin
H h g
v


    
The separation between the boys:

Ceiling height for a game of catch. Two boys "play catch" with a ball in a long hallway. The ceiling height is H, and the ball is thrown and caught at shoulder height, which we call h for each boy, If...

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