Velocity question with gravity?

Question

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 18 m.The acceleration of gravity is 9.8 m/s2 .

With what velocity did the balloon hit the

ground? Answer in units of m/s

Answer 1

edit: sara

Since velocity is a vector, try v=-18.78 j (m/s)

time to maximum height

s=(1/2)*g*t^2

solve for t

t=sqr((2*18)/9.8) = 1.9166 s "to 18 m"

1.9166 seconds up or down.

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With what velocity did the balloon hit the

ground?

v=g*t=-9.8*1.9166

= -18.78 j (m/s) "answer"

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edit:

"You discover that the balloon bursts when you have pitched it to a height of 18m" At 18 meters the balloon has maximum height and zero velocity by your given. We are

assuming that only the force of gravity is acting.

quote:

"in order for it to burst when it hits the ground"!