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We have to trust the equation you give us, telling us that the acceleration of gravity is 9.8,

the tossing speed is 20 straight up, and the stone leaves your hand from 10 above

ground.

If all of that is true, then H = -4.9 t2 + 20t + 10, and when the stone hits the ground,

-4.9 t2 + 20t + 10 = 0

Multiply both sides of the equation by -1 :

4.9 t2 - 20t - 10 = 0

We're not going to be able to factor that ugly thing,

so we have to use the quadratic equation:

t = [ 20 +/- sqrt(400 + 196) ] / 9.8 = ( 20 +/- 24.413) / 9.8

I get 4.532 seconds (rounded)

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13y ago

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