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course Phy 121
20/Jul/2010 20:30
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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.
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Based on this information what is its acceleration?
answer/question/discussion:
Determine v_Ave:
2 m / .64 s = 3.125 m/s
Determine vf:
3.125 m/s * 2 = 6.25 m/s
Determine a:
6.25 m/s / .64 s = 9.77 m/s^2
This is consistent w/gravity
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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:
Determine v_Ave:
5 m / 1.05 s = 4.76 m/s
Determine vf:
4.76 m/s * 2 = 9.52 m/s
Determine a:
9.52 m/s / 1.05 s = 9.07 m/s^2
Depending on the margin of allowable error this may or may not be consistent with question 1 - acceleration due to gravity.
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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:
See above responses
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