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; quantity a = change in position (cm) b = change in time (sec.) so you take the total difference of a and divide by total difference of b. answer 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: **************** a = velocity (30cm/sec) b = time (3sec) take the difference in velocity divided by change in time and you get = 10cm. Sec. cancel out since its on top and bottom.
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: **************** a = position (5cm/sec) b = time (10sec) since you are given the average rate of change then you multiply the equation to get the starting rate of change = (5cm/sec * 10 sec) = 50cm/sec
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 memorize the definition but it helps that I have applied and practiced it also.
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: **************** the definition is basically explains the equation. Average rate of change of one quantity (a; which will always be on top) in respect to another (b; always be on bottom). Since it’s the average of the total then both quantities have to be averaged separately first. Its easy to remember the quantities will go in order of which they are listed .
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22min
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Your reasoning was good on all questions, and your answers were all correct, except for an error in units.
&#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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