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# Physics-related math application

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1) A stone is thrown vertically upward with a speed of 18.0m/s.

A.how fast is it moving when it reaches a height of 11.0m?
B.how long is it required to reach this height?
C.Why are there two answers to b.?

2) A falling stone takes 0.28s to travel past a window 2.2m tall. From what height above the top of the window did the stone fall?

3) Suppose you adjust your garden hose nozzle for a hard stream of water. You point the nozzle vertically upward at a height of 1.5 m above the ground. When you quickly move the nozzle away from the vertical, you hear the water striking the ground next to you for another 2.0s. what is the water speed as it leaves the nozzle?

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#### Solution Preview

Simple problems on physics
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1) A stone is thrown vertically upward with a speed of 18.0m/s.

A.how fast is it moving when it reaches a height of 11.0m?

Conservation of energy:

0.5*m*V1^2 = 0..5*m*V2^2 + m*g*h

v2^2 = v1^2 - 2*9.8*11 = 18^2 - 215.6 = 108.4

v2 = 10.4 ...

#### Solution Summary

These are several physics-related problems regarding height and speed of a thrown and falling stone, and speed of water.

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