cq_1_012

phy201

Your 'cq_1_01.2' 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):_

(20-10)/(9-4)=10/5=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):_

(40-10)/3=10 cm/sec

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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):_

a/10=5 so a =50 cm

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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 definition for average rate of change is fairly easy to remember. It is the change in one quantity divided by the change in the other quantity.

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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):_

The procedure for applying this definition is all in knowing how to determine what information is present in the problem. If for example you have a problem asking for the average rate of change than you must divide quantity A by quantity B. Or it you are given the rate of change and one other variable you can figure it out by inserting the known variables into the equation and solving for the unknown variable.

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Copy and paste your work into the box below and submit as indicated:

Your instructor is trying to gauge the typical time spent by students on these questions. Please answer the following question as accurately as you can, understanding that your answer will be used only for the stated purpose and has no bearing on your grades:

_. Approximately how much time did you spend on this question?

Asst 1 Question 2

The problem:

Answer the following:

_. How accurately do you think you can measure the time between two events using the TIMER program?

answer/question/discussion: ->->->->->->->->->->->-> (start in the next line):_

I think the Timer program may be accurate to the second decimal place. There is a lot of inaccuracy in measurement also to do with how quickly the person can click between start and stop.

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_. What is the shortest time interval you think you would be able to measure with reasonable accuracy?

.

answer/question/discussion: ->->->->->->->->->->->-> (start in the next line):_

Based on the first timing exercise we did the smallest number I could get the Timer to measure was .15625. I’m not sure how accurate this would be in timing something in real life because you would have to click very fast. Maybe .25 would be a more accurate assumption

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_. How does the percent error in timing intervals change as the time between the events gets smaller?

answer/question/discussion: ->->->->->->->->->->->-> (start in the next line):_

The percent error would increase as the intervals get smaller.

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_. How accurately are you able to measure the positions of the ball and the pendulum in the initial video?

answer/question/discussion: ->->->->->->->->->->->-> (start in the next line):_

The ball was a little more accurate I think because you could slow the video down and actually see the point where it landed. Measuring the pendulum was a bit more difficult because it was very hard to see where and when each washer hit.

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15 min

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