phy 201
Your 'cq_1_9.1' 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 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:
vAve = ‘ds / ‘dt = 10 cm/s
vf = 2*vAve + v0 = 2*10 = 20 cm/s
a = ‘dv / ‘dt = 20/2 = 10 cm/s/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:
vf = 2(‘ds/’dt) + v0 = 2(20/2.06) = 19.417 cm/s
a = ‘dv / ‘dt = 19.417 / 2.06 = 9.426 cm/s/s
• What is the percent error in each?
answer/question/discussion:
+/- .2915
+/- .287
9.4 cm/s^2 does not differ from 10 cm/s^2 by .287% (nor by 3%, which is the correct percent difference for average velocities).
• If the percent error is the same for both velocity and acceleration, explain why this must be so.
answer/question/discussion:
then it is linear
• If the percent errors are different explain why it must be so.
answer/question/discussion:
then it is dependent upon another factor
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25 min
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Your conclusions regarding percent difference are not correct.
At least part of your solution does not agree with the solution and comments given at the link below. You should view the solution at that link and self-critique as indicated there.
Solution
This link also expands on these topics and alerts you to many of the common errors made by students in the first part of this course.