Question 126358
s = 16t^ + 32t, where "s" is in feet. How long (to the nearest tenth) will it take the ball to fall 137 feet? 
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s(t) = -16t^2s-32t+137
When the object hits the ground its height is zero
-16t^2-32t+137 = 0
t = [32 +- sqrt(32^2-4*-16*137)]/(-32)

t = [32 +- sqrt(9792)]/-32

t = [32 +- 98.954]/-32

Positive Answer
t = 2.0923..
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Cheers,
Stan H.