phy201
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A ball accelerates uniformly as it rolls 20 cm down a ramp, starting from rest, in 2 seconds.
What are its average velocity, final velocity and acceleration?
answer/question/discussion:
20cm = (0cm/s + vf) / 2 * 2s
vf = 20cm/s
a = (20cm/s + 0cm/s) / 2s = 10cm/s/s
vAve = 10cm/s
If the time interval is in error so that it is 3% longer than the actual time interval, then what are the actual values of the final velocity and acceleration?
answer/question/discussion:
20cm = (0cm/s + vf) / 2 * 2.06s
vf = 19.4 cm/s
a = 19.4cm/s + 0cm/s) / 2.06s = 9.4cm/s/s
What is the percent error in each?
answer/question/discussion:
3% for the velocity
6% for the acceleration
If the percent error is the same for both velocity and acceleration, explain why this must be so.
answer/question/discussion:
If the percent errors are different explain why it must be so.
answer/question/discussion:
the percent is doubled for the acceleration because as the time interval increases the accelertaion will move further and further away from the acceleration that was calculated withoutr the 3% error.
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20 mins
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