In a game of basket ball, hang time is the time for which a player remains suspended in air while dunking the ball.  The time taken by the player to jump to a height is the same as the time he will take in dropping to the ground.

 

Since given hang time is 0.506 seconds, time to go up will be 0.253 seconds and the time to drop down will also be 0.253 seconds.

 

Since the time for dropping down is 0.253 seconds, we can use the formula s= ut+1/2 gt2 to calculate the distance s, where u is the initial velocity(velocity of the player when he is at the maximum height) which is =0

 

Accordingly s= ½  (9.8) (0.253)2

 

                     = 0.3136441m