phy 121
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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 = 20cm / 2s = 10cm/s
vf = 10cm/s * 2 = 20cm/s
a = `dv / `dt = 20cm/s / 2 s
a = 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 time interval would be 2.06 (2 * .03).
vAve = 20cm/ 2.06 = 9.7cm/s
vf = 19.4cm/s
a = 9.4cm/s^2
• What is the percent error in each?
answer/question/discussion: ->->->->->->->->->->->-> :
The 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: ->->->->->->->->->->->-> :
Because both are effected by the time.
• If the percent errors are different explain why it must be so.
answer/question/discussion: ->->->->->->->->->->->-> :
They are not different.
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10 min.
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you didn't get the correct results for acceleration
Please compare your solutions with the expanded discussion at the link
Solution
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