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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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:
Answer: Quantity A is referring to distance and quantity B is referring to time. Average change of A with respect to B: (20cm 10cm)/(9sec 4sec) = 2.
Every quantity has units. You didn't give units with your final result. What are the units?
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:
Answer: Quantity A is referring to velocity and Quantity B is referring to time. Average change of A with respect to B: (40cm/sec 10cm/sec)/(3) = 10.
Every quantity has units. You didn't give units with your final result, nor did you include units with your denominator. What are these units?
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:
Answer: 5cm/sec * 10sec = 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:
Answer: This definition of average rate of change is almost identical to the slope of a line. M= (change in y)/(change in x).
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:
Answer: To apply this definition, you first need to find quantities A and B. To do this, make sure you when you do the subtraction between data points, you use the same data points for the use in the denominator. Then make sure you put quantity A in the numerator and B in the denominator. This will give you the average rate of change of A with respect to B. We use this type of equation all the time dealing with the slope of the line. Its not hard to remember and apply.
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30 minutes
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&#Good responses. See my notes and let me know if you have questions. &#