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'Maximum height' means the exact point at which the velocity changes from

upward to downward. At that exact point, the magnitude of the velocity is zero.

It doesn't matter what the velocity was when it left your hand. That number

determines the maximum height, but the velocity at that height is always zero.

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Thus using the formula: (vf)e2 = (vi)e2+2*a*d

vf = final velocity = 0 m/s

vi = initial velocity = 10 m/s

a = acceleration = gravity = - 9.81 m/s/s

d = displacement (distance) = ?

e is designating that the next figure is an exponent in the formula

So the formula is:

(0)e2 = (10)e2 + (2 * -9.81 * d)

0 = 100 + -19.62d

adding 19.62d to both sides of the equation

19.62d = 100

dividing by 19.62

d = ~ 5.097 meters

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