Phy 201
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: ****************
A is 10cm/4s and B is 20cm/9s. The answer is 10cm/5s or 2cm/s.
Neither of the divisions 10cm/4s or 20cm/9s is appropriate to the given information; if we knew that the position is 0 cm when the clock time is 0 s, then these divisions would have meaning, but we aren't given that information.
10 cm / 5 s = 2 cm/s is approriate and correct.
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: ****************
A is 10cm/s and B is 40cm/s and the change in time is already calculated which is 3 seconds. The answer is 30cm/3s or 10cm/s.
Your unit calculations are not correct here.
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: ****************
Multiply 5cm x 10. Answer is 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 use the triangle on my job daily when writing notes so this will be easy for me to remember the triangle A divided by triangle B.
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: ****************
Whenever trying to determine the change in rate I will remember this formula (triangle A divided by triangle B) and plug in the numbers given to solve the problem.
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30 minutes
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You're doing a good job of applying the definition of rate of change.
&#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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