#$&*
phy 121
Your 'cq_1_01.1' report has been received. Scroll down through the document to see any comments I might have inserted, and my final comment at the end.
** CQ_1_01.1_labelMessages **
The problem:
Here is the definition of rate of change of one quantity with respect to another:
The average rate of change of A with respect to B on an interval is
•average rate of change of A with respect to B = (change in A) / (change in B)
Apply the above definition of average rate of change of A with respect to B to each of the following. Be sure to identify the quantity A, the quantity B and the requested average rate.
•If the position of a ball rolling along a track changes from 10 cm to 20 cm while the clock time changes from 4 seconds to 9 seconds, what is the average rate of change of its position with respect to clock time during this interval?
answer/question/discussion: ->->->->->->->->->->->-> (start in the next line):
the quantity of the cm is 10 cm and the average rate of change is 5 sec so the average rate of change of its position with respect to clock time during this interval is 2
@&
average rate of change of A with respect to B = (change in A) / (change in B)
5 sec is not a rate of change. It's the change in the B quantity.
The numerical value of the rate of change would be 10 / 5 = 2. However the rate of change has units, which would be calculated as
10 cm / (5 sec) = 2 cm/sec.
*@
#$&*
•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: ->->->->->->->->->->->-> (start in the next line):
if the cm/ sec increases then for the ball to roll 40 cm it would take 120 seconds
#$&*
@&
The ball doesn't roll 40 cm. At the end of the interval it is rolling at 40 cm / second.
You don't appear to have applied the definition of average rate to this problem. You need to apply the definition carefully and systematically.
If you apply it incorrectly, I can help get you on track, but you have to show how you've attempted to apply it so I know what you're doing incorrectly.
*@
•If the average rate at which position changes with respect to clock time is 5 cm / second, and if the clock time changes by 10 seconds, by how much does the position change?
answer/question/discussion: ->->->->->->->->->->->-> (start in the next line):
If the clock time is 5cm/seconds then the clock time changes by 10 seconds the position would change by 50
#$&*
@&
Good.
*@
•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):
I plan to remember this definition by understanding that the average rate of chang of A with respect to B. A= quantity and B=average rate
#$&*
@&
&#See any notes I might have inserted into your document, and before looking at the link below see if you can modify your solutions. If there are no notes, this does not mean that your solution is completely correct.
Then please compare your old and new solutions with the expanded discussion at the link
Solution
Self-critique your solutions, if this is necessary, according to the usual criteria. Insert any revisions, questions, etc. into a copy of this posted document. Mark any insertions with &&&& so they can be easily identified.If your solution is completely consistent with the given solution, you need do nothing further with this problem. &#
*@