PHY 201
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.
** **
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: ->->->->->->->->->->->-> (start in the next line):
(5 + 13) / 2 = 9 seconds
#$&*
• What is the velocity at the midpoint of this interval?
answer/question/discussion: ->->->->->->->->->->->-> (start in the next line):
(16 + 40) / 2 = 28 cm/s
#$&*
• How far do you think the object travels during this interval?
answer/question/discussion: ->->->->->->->->->->->-> (start in the next line):
At an average velocity of 28 cm/s with a time interval of 8 seconds the object travels
distance = 28 cm/s * 8 s = 224 cm
#$&*
• By how much does the clock time change during this interval?
answer/question/discussion: ->->->->->->->->->->->-> (start in the next line):
Changes by 13 - 5 = 8 seconds
#$&*
• By how much does velocity change during this interval?
answer/question/discussion: ->->->->->->->->->->->-> (start in the next line):
Changes by 40 - 16 = 24 cm/s
#$&*
• What is the average rate of change of velocity with respect to clock time on this interval?
answer/question/discussion: ->->->->->->->->->->->-> (start in the next line):
a = 24 cm/s / 8 s = 3 cm/s^2
#$&*
• What is the rise of the graph between these points?
answer/question/discussion: ->->->->->->->->->->->-> (start in the next line):
The run is 40 - 16 = 24
#$&*
• What is the run of the graph between these points?
answer/question/discussion: ->->->->->->->->->->->-> (start in the next line):
The rise is 13 - 5 = 8
#$&*
• What is the slope of the graph between these points?
answer/question/discussion: ->->->->->->->->->->->-> (start in the next line):
Slope is equal to the rise over the run which is
24 / 8 = 3
#$&*
• What does the slope of the graph tell you about the motion of the object during this interval?
answer/question/discussion: ->->->->->->->->->->->-> (start in the next line):
The slope is the same as the acceleration of the object.
#$&*
• What is the average rate of change of the object's velocity with respect to clock time during this interval?
answer/question/discussion: ->->->->->->->->->->->-> (start in the next line):
a = 24 cm/s / 8 s = 3 cm/s^2
#$&*
** **
30 min
** **
Very good.
Do note that rise, run and slope all have units, which should be included in calculations. This is important for interpretation.