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: ->->->->->->->->->->->-> :
'dt = 2s
'ds = 20cm
vavg = 10cm/s
v0 = 0
vf = 20cm/s
'dv = 20cm/s
a = 10cm/s^2
#$&*
If the time interval is in error so that it is 3% longer than the actual time interval, then what are the actual values of the final velocity and acceleration?
answer/question/discussion: ->->->->->->->->->->->-> :
'dt*0.97 = 1.94s
'ds = 20cm
vavg = 10.31cm
v0 = 0cm/s
vf = 20.62cm/s
'dv = 20.62cm/s
a = 10.63cm/s^2
#$&*
What is the percent error in each?
answer/question/discussion: ->->->->->->->->->->->-> :
Error in acceleration
10.63cm/s^2 - 10cm/s^2 = 0.63cm/s^2
(0.63/10)cm/s^2 = 6.3% error
Error in velocity:
20.62cm/s - 20cm/s = 0.62cm/s
(0.62/20)cm/s = 3.1% error
#$&*
If the percent error is the same for both velocity and acceleration, explain why this must be so.
answer/question/discussion: ->->->->->->->->->->->-> :
It is different
#$&*
If the percent errors are different explain why it must be so.
answer/question/discussion: ->->->->->->->->->->->-> :
Since the acceleration is dependednt on the velocity it has a higher error than velocity itself.
#$&*
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10 minutes
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Solution
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