Your 'cq_1_01.1' 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:
Here is the definition of rate of change of one quantity with respect to another:
The average rate of change of A with respect to B on an interval is
average rate of change of A with respect to B = (change in A) / (change in B)
Apply the above definition of average rate of change of A with respect to B to each of the following. Be sure to identify the quantity A, the quantity B and the requested average rate.
If the position of a ball rolling along a track changes from 10 cm to 20 cm while the clock time changes from 4 seconds to 9 seconds, what is the average rate of change of its position with respect to clock time during this interval?
answer/question/discussion:
Quantity A = 20cm - 10cm = 10cm
Quantity B = 9sec - 4 sec = 5sec
So the average rate of change of A with respect to B = 10cm/5sec = 2cm/sec.
If the velocity of a ball rolling along a track changes from 10 cm / second to 40 cm / second during an interval during which the clock time changes by 3 seconds, then what is the average rate of change of its velocity with respect to clock time during this interval?
answer/question/discussion:
Quantity A = 40cm/sec - 10cm/sec = 30cm/sec
Quantity B = 3sec
Average rate of change = (30cm/sec)/3sec = 10cm/sec^2
If the average rate at which position changes with respect to clock time is 5 cm / second, and if the clock time changes by 10 seconds, by how much does the position change?
answer/question/discussion:
Quantity A = X
Quantity B = 10sec
Average rate of change in position with respect to clock time = 5cm/sec
So 5cm/sec = x/10sec
50cm = X = Quantity A, so the position changes by 50cm.
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25 minutes
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