cq_1_011

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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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: The position is A and the time is B so rate of change = 10cm(the difference between 10cm and 20cm)/5 seconds(difference between 4s and 9s). Rate of change = 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: Velocity is A and time is B. rate of change = 30cm/s in 3 seconds = 10cm/s. The rate of change is 10cm/s but I have no idea if that's right.

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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: The rate of change is 5cm/s. The position is A and the time is B. 5cm/s = a * 10s. 50cm = A. The position changes

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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: If I write something down on paper, it's very easy for me to remember it.

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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 need to find what is A and what is B in respect to the rate of change.

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20 minutes

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You are making a good attempt to apply the definition of rate of change. You missed details on some parts of the problem, solved other parts entirely correctly.

&#At least part of your solution does not agree with the solution and comments given at the link below. You should view the solution at that link and self-critique as indicated there.

Solution

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