Phy 231
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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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?
Based on this information, the acceleration is 9.77 m/s^2. This was found by first finding the average velocity by dividing ds/dt. With the average velocity and the initial velocity being zero, we are able to find the final velocity. With the final velocity and initial velocity, we are able to find the change in velocity. Change in velocity over time is equal to the acceleration.
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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?
Assuming that the ball drops from rest, and using the same method as discussed earlier, the acceleration would be 9.07 m/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?
The first problem is consistent with the accepted value of acceleration by only deviating .03 m/s/s. This deviation could be explained by measurement or rounding errors. However, the second problem deviates from the accepted value greatly by a deviation of 0.73 m/s/s.
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20 min
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Very good work. Let me know if you have questions.