SOLUTION: You are trying to find out how high you have to pitch a water balloon in order for it to burst when it hits the ground. You discover that the balloon bursts when you have pitche

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Question 1208243: You are trying to find out how high you have
to pitch a water balloon in order for it to burst
when it hits the ground. You discover that
the balloon bursts when you have pitched it
to a height of 15 m.
With what velocity did the balloon hit
the ground? The acceleration of gravity is
9.8 m/s^2
. The positive direction is up, so the
velocity when it hits is negative.
Answer in units of m/s.

Answer by ikleyn(52824) About Me  (Show Source):
You can put this solution on YOUR website!
.

When a massive body falls from the height h, it has velocity of sqrt%282gh%29 directed vertically down, when hits the ground.



Since in your problem the coordinate axis is vertically up, you take velocity with the sign "minus",


so, your answer in this problem is


    V = -sqrt%282%2Ag%2Ah%29 = -sqrt%282%2A9.8%2A15%29 = -17.1464282 m/s.

Solved, with explanations.