Phy 1
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: ->->->->->->->->->->->-> (start in the next line):
quantity A= change of position which is 20cm-10cm =10cm
quantity B= change of time which is 9 seconds-4 seconds =5 seconds
average rate of change of position = (change in distance) / (change in time) = 10cm/5seconds = 2cm/sec
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• 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: ->->->->->->->->->->->-> (start in the next line):
average rate of change of velocity is quantity a= 40cm/sec -10cm/sec =30cm/sec
quantity of b is change of time= 3 seconds
so the average rate of change of velocity with respect to time =(change in velocity)/(change in time)= (30cm/sec) / 3 sec = 10 cm
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• 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: ->->->->->->->->->->->-> (start in the next line):
average rate of change of position with respect to time= (change in position)/(change in time) so 5cm/sec = change in position/ 10 seconds
5cm/sec * 10 sec = change in position = 50cm
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• 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: ->->->->->->->->->->->-> (start in the next line):
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)
to remember I will just look back over it from time to time and remember that it is a very important concept in physics
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• 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: ->->->->->->->->->->->-> (start in the next line):
to apply this definition my way of remembering will be rate of change of distance with respect to time because that seems to be the simplest way to remember so remember that the rate of change of distance with respect to speed on a interval is:
rate of change of distance with respect to speed= change of distance/change of speed
using this definition with actual things besides just using A & B makes it easier to remember and easier to apply to future problems
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25 min
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Your work appears to be very good on this problem.
&#See any notes I might have inserted into your document. If there are no notes, this does not mean that your solution is completely correct.
Then please compare your solutions with the expanded discussion at the link
Solution
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