cq_1_011

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.

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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: ->->->->->->->->->->->-> The ball is rolling at 2cm/second if it is able to travel 10cm over a 5 second period of time. 10/5=2.

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: ->->->->->->->->->->->-> If the ball increases its speed by 30cm/sec over a 3sec period, the ball must be increasing its speed by 10cm/sec. 30/3=10.

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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: ->->->->->->->->->->->-> If in 1 second the ball travels 5cm, then multiplying the time by ten also allows us to multiply the distance by ten giving us 50cm traveled.

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: ->->->->->->->->->->->-> The concept has been taught to me several times, once by you last summer, so I have worked with its application several times and already knew the definition before reading it and applying it to this assignment. Hopefully, the practice with the rate of change definition in the past will make remembering it for the duration of this course pretty effortless.

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: ->->->->->->->->->->->-> To apply this definition simply, one would give two separate distances such as 5cm to 30cm and include the amount of time that passed during the distance traveled. The person applying the definition would then find the difference in the distances (Change in A) and divide it by either the net time or the amount of time that passed (Change in B) to get the average rate of change.

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No more than 15min

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I believe I have done this exact assignment in your Math Modeling course.

Right. I remember first names and faces from Governor's School, but usually not last names. Now I know who you are. Thanks for reminding me.

&#Please compare your solutions with the expanded discussion at the link

Solution

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