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Use the equation [ D = 1/2 g t2 ] .

D = the distance of free-fall = 50 m

g = acceleration of gravity = 9.8 m/sec2

t = time in free-fall

D = 1/2 g t2

2D / g = t2

t = sqrt( 2D / g ) = sqrt( 100 / 9.8 ) = 3.1944 seconds(rounded)

The horizontal velocity that the ball has when it's launched doesn't appear

in the calculation, because it makes absolutely no difference in the result.

Any effects of air resistance have been ignored in arriving at this solution.

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