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?
Quantity A (20cm – 10cm=10cm), Quantity B (9 sec – 4 sec = 5 sec), Average Rate (A/B or 10cm/5sec = 2 cm/s) The Average rate of change is 2 cm/s.
answer/question/discussion:
• 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?
A = (40 cm/s – 10 cm/s = 30 cm/s), B = 3 sec, Rate = (A/B or 30cm/s divided by 3sec = 10cm/s) The average rate in change of velocity with respect to time is 10cm/s.
answer/question/discussion:
• 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?
A = 5cm/s, B = 10 sec, Change = 5 cm/s *10 sec = 50cm. The Position change is 50 cm.
answer/question/discussion:
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15 mins
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Would like to have feedback. Thanks, Joshua
&#Very good work. Let me know if you have questions. &#