Phy 231
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
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:
The average rate of change of position would be (20cm-10cm)/(9sec-4sec) = 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:
The average rate of change of velocity, or acceleration, is [(40cm/second)-(10cm/second)]/3 sec = 10 cm/sec/sec or 10 cm/sec^2
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 position changes by 5cm/sec * 10 sec = 50 cm
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:
The average rate of change is simply a ratio of the two quantities that have changed such as position and time expressed in simplest form. I will remember this definition by remembering how it is also similar to the definition for the slope of a line on a graph.
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:
When two quantities have been observed to change and there is a relationship between the two, the two quantities can be expressed as a ratio that simplifies this relationship by taking the change of one quantity and dividing it by the other quantity, which will give the average rate of change.
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20 minutes
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&#Very good work. Let me know if you have questions. &#