Why v vs. t graph signifies but s vs. t^2 doesn't ?

  • #1

Summary:

This is a question which crossed my mind when I was analyzing the dimensions of the quantities.
Why v vs. t graph signifies but s vs. t^2 doesn't ? This is a question which crossed my mind when I was analyzing the dimensions of the quantities.
 
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  • #2
PeroK
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The question isn't "why doesn't it mean something?", but "what would it mean?"
 
  • #3
Mister T
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Are you asking why a graph of ##v## versus ##t## has some significance but a graph of ##s## versus ##t^2## doesn't have any significance? Certainly the area under each graph has different dimensions, but the slope of each graph has dimensions of acceleration. But it's only the slope of the ##v## versus ##t## graph that equals the acceleration. The slope of the ##s## versus ##t^2## graph has dimensions of acceleration but it's not equal to the acceleration.
 
  • #4
Vanadium 50
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Signifies what exactly?
 
  • #5
sophiecentaur
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Signifies what exactly?
I think it just goes to demonstrate that hopping in and out between Physics to Maths may be no more than a 'brain exercise' and may or may not have 'significance'.
I have noticed that the question of what Maths Is All About has come up quite frequently, or at least been inferred, in a number of recent threads.
Are you asking why a graph of v versus t has some significance but a graph of s versus t2 doesn't have any significance?
Isn't that just the distance travelled under constant acceleration? I would call that very significant.
But this sort of discussion will never get us anywhere, imo.
 

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