cq_1_022

Phy231

Your 'cq_1_02.2' report has been received. Scroll down through the document to see any comments I might have inserted, and my final comment at the end.

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The problem:

A graph is constructed representing velocity vs. clock time for the interval between clock times t = 5 seconds and t = 13 seconds. The graph consists of a straight line from the point (5 sec, 16 cm/s) to the point (13 sec, 40 cm/s).

• What is the clock time at the midpoint of this interval?

answer/question/discussion:

13s-5s=8s/2=4/s+3/s=7s

• What is the velocity at the midpoint of this interval?

answer/question/discussion:

slope=(40cm/s - 16cm/s) / (13s-5s)=3

y=3x+b

40=3(13) +b

40-39=b

b=1

y=3(7)+1

y=22cm/s

• How far do you think the object travels during this interval?

answer/question/discussion:

avg velocity=(40cm/s+16cm/s)/2=28cm/s

• By how much does the clock time change during this interval?

answer/question/discussion:

8s

• By how much does velocity change during this interval?

answer/question/discussion:

40cm/s-16cm/s=24cm/s

• What is the average rate of change of velocity with respect to clock time on this interval?

answer/question/discussion:

24cm/s/8s=3cm/s^2

• What is the rise of the graph between these points?

answer/question/discussion:

24cm/s

• What is the run of the graph between these points?

answer/question/discussion:

8s

• What is the slope of the graph between these points?

answer/question/discussion:

3

• What does the slope of the graph tell you about the motion of the object during this interval?

answer/question/discussion:

It moves forward at an increasing rate.

• What is the average rate of change of the object's velocity with respect to clock time during this interval?

answer/question/discussion:

This question is asked and answered already above.

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30 minutes

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&#At least part of your solution does not agree with the solution and comments given at the link below. You should view the solution at that link and self-critique as indicated there.

Solution

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