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: ->->->->->->->->->->->-> :
average rate of change = (change in distance) / (change in time)
= 20 cm - 10 cm / 9 sec - 4 sec
=10/5 = 2 cm/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: ->->->->->->->->->->->-> :
average rate of change = (change in velocity) / (change in time)
= 40 cm/sec - 10 cm/sec / 3 sec
= 10 cm/sec
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: ->->->->->->->->->->->-> :
average rate of change of A with respect to B = (change in A) / (change in B)
=10sec/5cm/sec = 2/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: ->->->->->->->->->->->-> :
By figuring it out that which one is change with the respect of the other. Then by dividing the changing thing with the other one.
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: ->->->->->->->->->->->-> :
There are various kind of situations in which one thing is change with respect to the other like If the position of car 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?
In this example the car position is changed with respect to the time, so in this kind of situations when we need to find the average rate of change then we divide the thing who's changing with respect to the with the other one.
the easy way of solving this kind of situations is by remembering the following equation:
average rate of change of A with respect to B = (change in A) / (change in B)
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30 minutes aproximately.
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Do we have credit for this assignment?
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Please compare your solutions with the expanded discussion at the link
Solution