#$&*
PHY 201
Your 'cq_1_01.1' report has been received. Scroll down through the document to see any comments I might have inserted, and my final comment at the end.
** **
The problem:
Here is the definition of rate of change of one quantity
with respect to another:
The average rate of change of A with respect to B on an
interval is
average rate of change of A with respect to B = (change
in A) / (change in B)
Apply the above definition of average rate of change of A
with respect to B to each of the following. Be sure to
identify the quantity A, the quantity B and the requested
average rate.
If the position of a ball rolling along a track changes
from 10 cm to 20 cm while the clock time changes from 4
seconds to 9 seconds, what is the average rate of change
of its position with respect to clock time during this
interval?
answer/question/discussion: ->->->->->->->->->->->-> (start in the next line):
(change in A)/(change in B) =
(20cm - 10cm)/(9s - 4s)= 10cm/5s = 2cm/s
#$&*
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):
(change in A)/(change in B) =
(40cm - 10cm)/3s = 30cm/3s = 10cm/s
#$&*
@& 10 cm and 40 cm are not quantities associated with this motion on this interval.
If the positions were 10 cm and 40 cm then you would have the rate of change of position with respect to clock time. However this is not the case, and you haven't found a rate of change of velocity with respect to clock time.
The sequece of steps is correct, but you don't have the right units on all your quantities or on your final answer.*@
If the average rate at which position changes with
respect to clock time is 5 cm / second, and if the clock
time changes by 10 seconds, by how much does the position
change?
answer/question/discussion: ->->->->->->->->->->->-> (start in the next line):
5 cm/s * 10s = 50 cm
#$&*
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: ->->->->->->->->->->->-> (start in the next line):
I will make note of the definition and study it.
#$&*
You are asked in this exercise to apply the definition,
and given a general procedure for doing so. Briefly
outline the procedure for applying this definition, and
briefly explain how you will remember to apply this
procedure.
answer/question/discussion: ->->->->->->->->->->->-> (start in the next line):
To apply the definition for the rate of change of one
quantity (a) with respect to another (b) you must divide
the change in (a) by the change in (b).
#$&*
*#&!*#&!
@&
&#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. &#