A water balloon is thrown horizontally at a speed of 2.2 m/s from the roof of a

Question

A water balloon is thrown horizontally at a speed of 2.2 m/s from the roof of a building that is 6.47 m above the ground. At the same instant the balloon is released, a second balloon is thrown straight down at 2.2 m/s from the same height. (Neglect any effects due to air resistance.) Which balloon will land first?

1

balloon #1 balloon #2     Both balloons will land at the same time.

How much earlier will that balloon land in comparison to the other? (Enter NA if both balloons land at the same time. )
2    s earlier

Which balloon is moving with the fastest speed at impact?

3

balloon #1 balloon #2     Both balloons will land at the same time.

Explanation / Answer

1) Given Data

h = 6.47 m

v0 = 2.2 m/s

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1) the balloon #2 which is straight down will hits first

2) for first

h = vot + 0.5gt1^2

6.47 = 0 +0.5gt1^2

0.5*9.8*t1^2 = 6.47

t1^2 = 1.32 s

t1 = 1.1491

for second

h = vot2 + 0.5gt2^2

6.47 = 2.2t2 + 0.5*9.8t2^2

4.9t2^2 + 2.2t2

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