Phy 121
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The problem:
A graph is constructed representing velocity vs. clock time for the interval between clock times t = 5 seconds and t = 13 seconds. The graph consists of a straight line from the point (5 sec, 16 cm/s) to the point (13 sec, 40 cm/s).
• What is the clock time at the midpoint of this interval?
I would guess that the clock time would be the time in the middle of the graph. Here between 5 and 13, the midpoint would be the time of 9.
• What is the velocity at the midpoint of this interval?
The velocity at the midpoint would be the division of centimeters to find the middle.
• How far do you think the object travels during this interval?
I am not sure of how far the object travels.
• By how much does the clock time change during this interval?
I’m guessing that the clock time changes depending on the velocity of the object and time.
• By how much does velocity change during this interval?
I’m not sure of how to arrive to this answer.
• What is the average rate of change of velocity with respect to clock time on this interval?
There would be some sort of formula that allows us to plug the numbers and find the average velocity with respect to clock time.
• What is the rise of the graph between these points?
I would have to find the vertex as to see what the rise of the graph sets.
• What is the run of the graph between these points?
To get a run, I imagine that there is a formula that arrives from the information provided.
• What is the slope of the graph between these points?
The slope would also require x and y coordinates.
• What does the slope of the graph tell you about the motion of the object during this interval?
I would guess that the slope would be rising according to the numbers.
• What is the average rate of change of the object's velocity with respect to clock time during this interval?
The average rate would also be increasing with respect to the clock time.
To find the value of a quantity at the midpoint of the interval, find its value at the beginning of the interval and at the end. Then average the two values.
You need to apply this to find the midpoint values of the clock time and of the velocity.
To find the rise of the graph between two points, you find the change in the 'vertical' coordinate, which is the 'rise', and the change in the 'horizontal' coordinate, which is the 'run'. For this graph, what is the 'vertical' coordinate and what are its values at the two given points? Answer the same question for the 'horizontal' coordinate, then use your answers to find the slope.
Every quantity given as units. Every one of your answers, including your answer to the first question (which is otherwise correct), must be given with appropriate units. Every quantity used in your solution must be accompanied by the correct units.
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It took me approximately 16-20 minutes to do this.
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Since these are 'seed' questions, I don't understand the real purpose because I'm not sure if we are basing our answers on prior knowledge. Or are we supposed to base it on formulas that have not been explored yet?
This question can be answered based on procedures and definitions covered in previous assignments. The 'seed' questions are designed in such a way that it should be possible to answer them, and to gain insights into any new terms that might be introduced in the question.
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