The Difference Between Equation Uniform Acceleration and Average elocity

  • Thread starter Arooj
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Homework Statement



I was just wondering in what instances you would use the two equation belows, and what the difference is between them.

Homework Equations



average velocity:

vave = Δx/Δt


Uniform Acceleration:

vave = (vi+ vf )/2


The Attempt at a Solution


I'm assuming that the second equation is just a way of finding the average velocity of time and distance are not known.
 

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vave?
 
  • #3
SammyS
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Homework Statement



I was just wondering in what instances you would use the two equations below, and what the difference is between them.

Homework Equations



average velocity:

vave = Δx/Δt


Uniform Acceleration:

vave = (vi+ vf )/2

The Attempt at a Solution


I'm assuming that the second equation is just a way of finding the average velocity of time and distance are not known.
The first equation, [itex]\displaystyle v_\text{ave}=\frac{\Delta x}{\Delta t}[/itex] is a definition for average velocity, so it's always true.

The second equation, [itex]\displaystyle v_\text{ave}=\frac{v_\text{initial}+v_\text{final}}{2}[/itex] is true for the case of uniform (constant) acceleration. It's not true in general, if the acceleration is not constant.
 

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