Phy 121
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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: ->->->->->->->->->->->-> :
Approx 9 seconds because the velocity is gaining approx 3 cm/s every second.
• What is the velocity at the midpoint of this interval?
answer/question/discussion: ->->->->->->->->->->->-> :
The velocity at 9 seconds is 28 cm/s.
• How far do you think the object travels during this interval?
answer/question/discussion: ->->->->->->->->->->->-> :
85 1/3 cm
• By how much does the clock time change during this interval?
answer/question/discussion: ->->->->->->->->->->->-> :
4 seconds
• By how much does velocity change during this interval?
answer/question/discussion: ->->->->->->->->->->->-> :
It increases by 12 cm
• What is the average rate of change of velocity with respect to clock time on this interval?
answer/question/discussion: ->->->->->->->->->->->-> :
It gains 2 2/3 cm/s every second
• What is the rise of the graph between these points?
answer/question/discussion: ->->->->->->->->->->->-> :
Rise = 24
• What is the run of the graph between these points?
answer/question/discussion: ->->->->->->->->->->->-> :
Run = 8
• What is the slope of the graph between these points?
answer/question/discussion: ->->->->->->->->->->->-> :
Slope = 3
• What does the slope of the graph tell you about the motion of the object during this interval?
answer/question/discussion: ->->->->->->->->->->->-> :
It is gaining velocity faster than it is gaining speed.
• What is the average rate of change of the object's velocity with respect to clock time during this interval?
answer/question/discussion: ->->->->->->->->->->->-> :
The slope is always equal to the rate of change which is for every added 3 cm/s one second passes.
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20 minutes
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Solution
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