Phys 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
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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.
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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:
* change in rate A= 10cm/s
change in rate B= 20cm/s
average rate of change= (dA)/(dB)
= (10cm/s)/(20cm/s)
average rate of change= .5 cm/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:
* rate of dA= 10cm/s
rate of dB= 4cm/s
ave. rate of change=(10cm/s)/(4cm/s)
= 2.5cm/s
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:
* ave rate of change= (dA)/(dB)
(dB)*ave rate of change=(dA)
(10s)*(5cm/s)= 50cm
dA=50cm
dB=10s
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 know this formula because it wil ask me for the rate of change in one object with respect to
another.
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:
For the procedure for applying this definition would be to find the rate which one object travels
and divide it with respect to another object. This know as the rate of change of an object with respect to another.
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20 min
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&#Your work looks very good. Let me know if you have any questions. &#