cq_1_071

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phy 201

Your 'cq_1_07.1' report has been received. Scroll down through the document to see any comments I might have inserted, and my final comment at the end.

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A ball falls freely from rest at a height of 2 meters.  Observations indicate that the ball reaches the ground in .64 seconds. 

• Based on this information what is its acceleration?

answer/question/discussion: ->->->->->->->->->->->-> :

# vAve = `ds / `dt

vAve = 2 m / .64 s

vAve = 3.125 m/s

# 3.125 m/s = (0 m/s + vf) / 2

6.25 m/s = vf

 aAve = `dv / `dt

aAve = (6.25 m/s - 0) / .64 s

aAve = 9.77 m/s/s

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• Is this consistent with an observation which concludes that a ball dropped from a height of 5 meters reaches the ground in 1.05 seconds?

answer/question/discussion: ->->->->->->->->->->->-> :

# vAve = `ds / `dt

vAve = 5 m / 1.05 s

vAve = 4.76 m/s

# vAve = (v0 + vf) /2

4.76 m/s = (0 m/s + vf) /2

9.52 m/s = vf

# aAve = (9.52 m/s - 0) / 1.05 s

aAve = 9.06 

My answer is not consistent with the first observation.

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• Are these observations consistent with the accepted value of the acceleration of gravity, which is 9.8 m / s^2?

answer/question/discussion: ->->->->->->->->->->->-> :

 My calculations are not consistent with the accepted value of the acceleration of gravity, but I believe they should be. I am not sure where I made a mistake.

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30 minutes

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Data is subject to errors and uncertainties.

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