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.

** CQ_1_07.1_labelMessages **

Samantha Rogers

PHY 201

Seed 7.1

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 meters / .64 sec

vAve = 3.125 meters / sec

vAve = (vf + v0) /2

3.125m/s = (vf) /2

vf = 6.25m/s

To find acceleration I use the following equation:

vf = v0 + a `dt

vf - v0 = a `dt

a = (vf - v0) / `dt

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

a = (6.25m/s) / .64s

a = 9.77 m/s^2

 

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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 = 5m / 1.05s

vAve = 4.76m/s

vAve = (vf + v0) / 2

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

4.76m/s = vf / 2

vf = 9.52m/s

a = (vf - v0) / `dt

a = (9.52m/s - 0) / 1.05s

a = 9.52m/s / 1.05s

a = 9.067m/s^2

For this my acceleration value was not as close to 9.77m/s^2. However it is still relatively close to 9.07m/s^2.

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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: ->->->->->->->->->->->-> :

 Yes, my answers were relatively close to this accepted value. (The first answer was closer)

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