Phy 231
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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: ->->->->->->->->->->->-> :
The average velocity is equal to 20cm/2s which equals 10cm/s. Because it is uniform the final velocity is double the average which equals 20cm/s. The acceleration is equal to 20-0 over 2 which equals 10cm/s^2
• 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 average v would be 9.71 and the final would be 19.4cm/s. The acceleration would then be 9.4m/s^2.
• What is the percent error in each?
answer/question/discussion: ->->->->->->->->->->->-> :
The percent error would be 3%
• If the percent error is the same for both velocity and acceleration, explain why this must be so.
answer/question/discussion: ->->->->->->->->->->->-> :
This is so because it is uniform so the velocity and acceleration are both increasing at constant rates.
• If the percent errors are different explain why it must be so.
answer/question/discussion: ->->->->->->->->->->->-> :
Not different.
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15 min
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Solution
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