Velocity versus Time Graph help?

AI Thread Summary
A vertical line on a velocity versus time graph is nonsensical, as it implies an object possesses every possible velocity at a single instant, which is not physically possible. In contrast, a horizontal line indicates constant velocity, meaning the object is moving at a steady speed over time. A nearly vertical line can represent a rapid change in velocity, suggesting a quick transition rather than an instantaneous one. This distinction is important for understanding motion in physics. Overall, the graph's interpretation hinges on the relationship between velocity and time.
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What does a vertical line graph pointing straight up mean? Same for down? What does a horizontal line mean?

y axis=velocity (m/s)

x axis=time (s)
 
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Vertical line doesn't mean anything. It's not even a proper function. f(x) can have only one output per x.
It doesn't make sense intuitively either: one body cannot have simultaneously every possible velocity.

Horizontal means constancy.
 
I was doing a lab with my group where we had to use a motion detector to match the target graphs given. And yes, my axes are correct. (University Physics 1)
 
Velocity=(m/s)

Time=(s)
 
Bandersnatch is correct. A vertical line on a velocity time graph is nonsense. It means that the object has every velocity and only exists for an instant.

A horizontal line means a constant speed.
 
DaleSpam said:
Bandersnatch is correct. A vertical line on a velocity time graph is nonsense. It means that the object has every velocity and only exists for an instant.

A horizontal line means a constant speed.

It could help to add that a 'nearly vertical' line would represent a very rapid change of velocity - thus avoiding the problem of every velocity existing at once. 'Near as dammit', instant change of velocity - as when a ball bearing hits the front of a locomotive. The line is not quite vertical.
 
Right- the ball bearing has just enough time to say "ouch"!
 
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