**Q. A weather balloon is floating at a constant height above earth when it releases a pack of instruments. **

**a. if the pack hits the ground with a velocity of -73.5 m/s, how far did the pack fall? **

**b. how long did it take for the pack to fall?**

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v = -73.5 m/s (- since downwards)

a = -g = -9.8 m/s ^{2}

From the equation of motion

v = u + at

-73.5 = -9.8 x t

**t=7.5 s **

from the equation of motion s = ut + 1/2 a t^{2}

u= 0 m/s

s = 0.5 x (-9.8)x 7.5 x 7.5

= 275.625 m

= ** 275.6 m**

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