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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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
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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.
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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 is 20cm-10cm=10cm Quantity B is 9s-4s=5s. The average is 2cm/s.
You have the right idea but be careful of your wording.
Auantity A is not change in position. If it was then change in A would be (change in change in A). A is simply position. The word 'change in' is not part of the name of quantity A.
Similarly quantity B is clock time, not change in clock time. Thus change in B is change in clock time, not change in change in clock time.
Your response should read
'The change in quantity A is 20cm-10cm=10cm, the change in quantity B is 9s-4s=5s. The average rate of change is 2cm/s.'
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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 is 40cm/s-10cm/s=30m/s and Quantity B is 3 seconds. The average rate of change in velocity is 10cm/s/s.
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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 is 50cm-0cm=50cm and Quantity B is 10s-0s=10s. The average rate of change is 5cm/s. So this means that the object moves 50cm in 10 seconds.
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10mins
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Very good, but be sure to see my note on terminology.