phy 121
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:
You will find the difference in the distance (10cm – 20 cm) and the difference in time (4 sec – 9 sec) first. The average rate of change is 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:
Find the difference in distance (10cm – 40cm) and divide this by 3 seconds. The average rate of change is 10cm/sec.
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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:
5cm = x / 10sec (x represents the distance), x = 50, so the position changes 50cm.
• You will be expected hereafter to know and apply, in a variety of contexts, the definition given in this question. You need to know this definition word for word. If you try to apply the definition without using all the words it is going to cost you time and it will very likely diminish your performance. Briefly explain how you will ensure that you remember this definition.
->->->->->->->->->->->-> answer/question/discussion:
I have wrote the formula word for word in my physics notes and will apply this formula to future homework assignments in order to become familiar with it.
• You are asked in this exercise to apply the definition, and given a general procedure for doing so. Briefly outline the procedure for applying this definition, and briefly explain how you will remember to apply this procedure.
->->->->->->->->->->->-> answer/question/discussion:
You will first find the change in A (for example, change in distance) and then find the change in B (for example, change in time). You will then divide change in A by change in B and this will give you the average rate of change of A with respect to B. The formula for this is: average rate of change of A with respect to B = (change in A) / (change in B). The best way for me to remember this is with repetition of use and clear notes.
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20 min.
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Solution
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