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# how far did a person fall if they fell for 3 minutes and 22 seconds

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how far did a person fall if they fell for 3 minutes and 22 seconds

Guest Aug 7, 2017
#1
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Assuming the gravitational acceleration is $$9.8m/s^2$$ in your question.

3 minutes and 22 seconds = 202 seconds

The distance fallen is proportional to one half the square of time times the acceleration:

$$Δx=\frac{1}{2}at^2$$

Plug $$a=9.8m/s^2$$ and $$t=202 s$$

$$Δx=\frac{1}{2}9.8\left(202\right)^2$$

$$=4.9(40804)$$

$$=199939.6 m ≈ 200 km$$

(Fun fact: You can fall for over 12 minutes from the solar system's highest cliff- The Verona Rupes on Miranda)

Jeffes02  Aug 8, 2017
#2
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But you can never assume you need to know the vlocity and the rate of witch you are falling

BruinBoy40  Aug 8, 2017
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That is correct, but I would have to assume so since he didn't mention about it by anyway in his question. :P

Jeffes02  Aug 8, 2017

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