Phy 201
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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: ->->->->->->->->->->->-> : As the acceleration is uniform, the average velocity=final1+ initial velocity/2=
Initial velocity=0
Average velocity=20/2=10cm/sec
Final velocity=20-0=20cm/sec
Acceleration=20-0/2=10cm/sec square
• 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: ->->->->->->->->->->->-> : The time interval is 3% longer than the actual time interval
So, the actual time interval is 3% less than 2 sec=
.06 less than 2 sec=1.94
Average velocity=20/1.94=10.30cm/sec
Final velocity=20.60cm/sec
Acceleration=20.61-0/1.94=10.61cm/sec square
• What is the percent error in each?
answer/question/discussion: ->->->->->->->->->->->-> : Percent error in final velocity=20.61-20/20.61 * 100=.0014%
Percent error for acceleration=.61/10.61*100=5.74%
• If the percent error is the same for both velocity and acceleration, explain why this must be so.
answer/question/discussion: ->->->->->->->->->->->-> : They are different
• If the percent errors are different explain why it must be so.
answer/question/discussion: ->->->->->->->->->->->-> : They are different because the value of acceleration and final velocity are different
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15min
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