Your 'cq_1_7.1' 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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Seed quest 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:
V0 = 0
Ds = 2m
Dt = .64s
Ds = v0 * dt + ½ a * dt^2
2m = (0)*0.64s + 0.5a * 0.64^2
2m = 0 + 0.5a * 0.4096
2m / 0.4096 s^2= 0.5a
4.883 = 0.5a
9.466 m/s/s = a
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:
V0= 0
Ds = 5m
Dt = 1.05s
Ds = v0 * dt + ½ a * dt^2
5 = (0) * 1.05 + 0.5a * 1.05^2
5 = 0 + 0.5a * 1.1025
4.535 = 0.5a
9.07m/s/s = a
Both examples are in the 9 to 10 m/s/s range, however the first is closer to 9.5 m/s/s and the second is closer to 9.0 m/s/s .
Are these observations consistent with the accepted value of the acceleration of gravity, which is 9.8 m / s^2?
answer/question/discussion:
Both are within a close range, however the second seems to be a bit far off it is 9.07 m/s/s as compared to 9.8m/s/s. If this was cm I would say it was close, but the measurement is in meters and that seems to me to be quite a significant difference.
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15 mins
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