cq_1_091

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

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Solution

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