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If the penny is thrown horizontally at 25 m/s from the 170 meter building, how long will it take for the penny to hit the ground?

User Syed Osama Maruf
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1 Answer

17 votes
17 votes

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Answer:

about 5.89 seconds

Step-by-step explanation:

The penny will hit the ground at the same time it would if it were simply dropped. The equation for the vertical motion is ...

h(t) = -4.9t^2 +170 . . . . . where 170 is the initial height in meters

h(t) = 0 when ...

4.9t^2 = 170

t = √(170/4.9) ≈ 5.89

The penny will hit the ground in about 5.89 seconds.

User Tejay
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3.0k points