The height in feet of a golf ball hit into the air is given by #h= -16t^2 + 64t#, where t is the number of seconds elapsed since the ball was hit. How long does it take for the ball to hit the ground?

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Answer 1 · 2017-07-11T11:23:56

After #4# seconds the the ball will hit the ground.

When hitting the ground , #h=0 :. -16 t^2 +64t =0 # or

# t (-16t+64) =0 :. # either #t=0 or (-16t +64)=0 :. 16t=64 or t =4 #

#t=0 or t=4 ; t=0# indicates initial point. So #t=4# seconds

After #4# seconds the the ball will hit the ground. [Ans]