Predicting Position for velocity time graph

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Homework Help Overview

The discussion revolves around predicting position using a velocity-time graph, focusing on the relationship between the areas under the curve and the time at which two graphs intersect. Participants are exploring how to interpret the graph without specific numerical values on the y-axis.

Discussion Character

  • Exploratory, Assumption checking, Conceptual clarification

Approaches and Questions Raised

  • Participants are questioning how to find the area under the curve without y-axis numbers and whether they should consider slopes. There is discussion about estimating areas to differentiate between possible answers.

Discussion Status

Some participants have provided hints and suggestions for estimating areas and interpreting the graph. There is an acknowledgment of potential typos in the graph's x-axis values, and multiple interpretations of the problem are being explored.

Contextual Notes

Participants note the absence of specific numerical values on the y-axis and the implications this has for calculating areas. There is also mention of a possible typo in the x-axis labeling that could affect interpretations.

qwertyqwert321
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Homework Statement


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Homework Equations

The Attempt at a Solution


I honestly have no clue as to how to go about this question. Am i supposed to find the area under the curve? but how do i do that without y-axis numbers. am i supposed to look at the slopes?
 
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qwertyqwert321 said:
Am i supposed to find the area under the curve? but how do i do that without y-axis numbers. am i supposed to look at the slopes?
You only need to estimate the areas close enough to decide among the possible answers.
 
Hi querty:

I first note that the values given along the X-axis omits 6. I assume that is is a typo, and that the last two ticks are for 6 and 7 rather than 7 and 8. I also note that none of the 5 given answers matches my estimate of the correct time.

The question is: at what point in time is the distance from the starting point the same for the two graphs. Your idea about area is good. Hint: You are not being asked to find the distance corresponding to the desired time.

Hope this helps.

Regards,
Buzz
 
Buzz Bloom said:
Hi querty:

I first note that the values given along the X-axis omits 6. I assume that is is a typo, and that the last two ticks are for 6 and 7 rather than 7 and 8. I also note that none of the 5 given answers matches my estimate of the correct time.

The question is: at what point in time is the distance from the starting point the same for the two graphs. Your idea about area is good. Hint: You are not being asked to find the distance corresponding to the desired time.

Hope this helps.

Regards,
Buzz
Okay so I would calculate :
area of me = 0.5 b * h
area of grandma = 0.5 bh + lw ( split the curve into triangle and rectangle )

would i then : area of me - area of grandma ?
 
Hi querty:

Since you have no numbers for the Y-axis, I suggest you just eyeball it. Imagine a vertical line at the time T when the areas are the same. Estimate the area of grandma minus me, that is the area between the curve and the line. Between the beginning of the graph and the point P when the two graphs cross is area A. Between P and T the area between the graphs is area B. The total area between the beginning and T under grandma will equal the total area under me. How will A and B relate to each other?

Regards,
Buzz
 

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