phy201
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?
Ball rolling along a track changes from 10 to 20 cm, which makes a 10 cm difference. Therefore, this is the Change of A (10cm).
The clock time changing from 4 seconds to 9 seconds shows a difference of 5 seconds which is the value of B.
good; but note that it's the change in B, not the value of B
(10cm/5seconds) = 2 avg rate of change.
answer/question/discussion: ->->->->->->->->->->->-> :
• 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?
Ball rolling along a track changes from 10cm to 40cm/second, the difference is 30cm/second ( Change in A =30cm/sec).
30/3= 10 avg rate of change of its velocity.
good but you need the units throughout the calculation and at the end
answer/question/discussion: ->->->->->->->->->->->-> :
• 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?
50 cm is how much change will occur in position. With the position changing every second by 5cm, when 10 seconds are examined simply multiply 5x10 to get your position change of 50.
answer/question/discussion: ->->->->->->->->->->->-> :
• 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 will remember this definition by taking notes and constantly reviewing the literature to ensure my understanding of the word and its usage.
• 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 applying this definition you accept that the avg rate of change for A with respect to B= (change in A)/(Change in B)
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I spent about 20 minutes on this project. 15 were spent reviewing the questions and documenting my answers on a piece of paper. The remaining time was spent keying in my answers.
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Good work. See my note and check the discussion at the link below. No revision is necessary.
&#Please compare your solutions with the expanded discussion at the link
Solution
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