Is There an Equation for Velocity?

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SUMMARY

The discussion confirms that the equation for finding final velocity, given time, initial and final positions, and constant acceleration, is defined by the formula \( g = \frac{v' - v}{t} \). Additionally, the average velocity can be calculated using the equation \( \overline{v} = \frac{x_f - x_0}{t_f - t_0} \), which simplifies to \( \overline{v} = \frac{\Delta v}{\Delta t} \). The relationship between position and velocity is further expressed through the algebraic equation \( x = x_0 + vt \), establishing a clear method for calculating velocity in physics.

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Does anyone know if there exists an equation for finding final velocity by just knowing:
1) Time, 2)final and initial position and 3)constant acceleartion?
 
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[itex]-g=\frac{v'-v}{t}[/itex]

works for your questions, and is the definition of an acceleration. More generally, the usual equation taught is:

[itex]\overline{v}=\frac{x_f - x_0}{t_f - t_0}=\frac{x}{t}[/itex]

this gives [itex]\overline{v}= \frac{\Delta v}{\Delta t}[/itex] since [itex]\frac{x'-x}{t'-t}[/itex].

where x is position, t is time and the lower indices are f which resembles ''final'' and the 0 resembles ''initial''.Using albegra to calculate velocity is given as [itex]x=x_0 +vt[/itex].
 

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