What is the relationship between velocity and time on this graph?

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Homework Help Overview

The discussion revolves around interpreting a Velocity vs Time graph. Participants are examining the relationship between velocity and time as depicted in the graph, which features a straight line. There is confusion regarding the implications of the graph's characteristics and the correct interpretation of the axes.

Discussion Character

  • Exploratory, Assumption checking, Conceptual clarification

Approaches and Questions Raised

  • Participants discuss the meaning of a straight line in the context of velocity and time, questioning whether it indicates constant speed. Some express uncertainty about the graph's labeling and what the axes represent. Others explore the implications of negative velocity values and how they relate to the direction of motion.

Discussion Status

The conversation is ongoing, with participants offering insights and questioning each other's interpretations. There is recognition of the need for clarity regarding the graph's labels and the axes, but no consensus has been reached on the correct interpretation of the graph.

Contextual Notes

Participants note the absence of labels on the graph, which complicates the interpretation of the data. There is also mention of the need to understand the problem setup before addressing the specific questions posed.

kalcorn
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Homework Statement
This Velocity vs Time graphs models an an object that was ....
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Screen Shot 2020-05-20 at 3.26.32 PM.png
Screen Shot 2020-05-20 at 3.26.26 PM.png

This is the graph I was given and the answer options. Since the graph is a straight line moving towards the positive direction I thought that meant it was traveling at a constant speed moving in the positive direction. That ended up being the wrong answer. Can anyone offer insight, I missed each question that was like this.
 

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Constant speed means the speed isn't changing. If the speed is constant what is that constant value from the graph?
 
kalcorn said:
graph is a straight line moving towards the positive direction
graph of what?
what is moving?
What does the graph represent?
 
kalcorn said:
Homework Statement:: This Velocity vs Time graphs models an an object that was ...
Can anyone offer insight, I missed each question that was like this.
At time=0, the object had a velocity of -8.5 units: the negative sign suggests that the object was moving in a negative direction respect to some pre-set reference.

At time=9 units, the object had a velocity of -3.0 units: the negative sign suggests that the object was still moving in that same negative direction, but slowing down from the previous magnitude of velocity.
 
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kalcorn said:
Since the graph is a straight line moving towards the positive direction I thought that meant it was traveling at a constant speed moving in the positive direction
On a position vs time graph, a straight line indicates constant speed.
 
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I agree, the straight line (with both numbers increasing) indicates constant speed in a positive direction.
What's missing is labels, so I don't know if it represents a speed of 0.61 or 1.64
Is time vertical or horizontal in that graph? Doesn't say, which is fine because they don't ask.

So your answer seems correct. No idea why they'd say otherwise.
 
Halc said:
I agree, the straight line (with both numbers increasing) indicates constant speed in a positive direction.
On a position versus time graph, that would be correct. This is not a position versus time graph.
 
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jbriggs444 said:
On a position versus time graph, that would be correct. This is not a position versus time graph.
I stand corrected. The answer given by the OP is wrong, as was I. Both fooled by the same thing.
My comment about the lack of labeling is important now, as it gives different answers depending on which axis is the time and which is the velocity.
 
Apparently the student - as well as having to figure out the problem - has to figure out exactly what the problem is, in the first place. Seems to be a pande... umm, forget that.

Anyways...

Having a range from 10 to -10 would seem to indicate that - given the apparent simplicity of the problem - the vertical axis does not indicate Time.

Does that help ?
 
  • #10
The vertical axis is velocity and the horizontal axis is time because the graph is titled Velocity vs Time. (The conventional ordering is "dependent variable" vs "independent variable.")
 
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