Is There an Equation for Velocity?

  • Thread starter GlobalDuty
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In summary, there exists an equation for finding final velocity by knowing time, final and initial position, and constant acceleration. This equation is -g=\frac{v'-v}{t} and is the definition of acceleration. The general equation for calculating velocity is \overline{v}=\frac{x_f - x_0}{t_f - t_0}=\frac{x}{t}, which can also be written as \overline{v}= \frac{\Delta v}{\Delta t}. Another equation for calculating velocity using algebra is x=x_0 +vt.
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GlobalDuty
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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].
 

What is the equation for velocity?

The equation for velocity is v = d/t, where v is velocity, d is distance, and t is time.

How do you calculate velocity using the equation?

To calculate velocity, you need to divide the distance travelled by the time it took to travel that distance. This will give you the average velocity for that period of time.

What are the units for velocity?

The units for velocity are distance over time, such as meters per second (m/s) or kilometers per hour (km/h).

Can velocity be negative?

Yes, velocity can be negative. Negative velocity indicates that an object is moving in the opposite direction of the positive direction, or that it is slowing down.

How does velocity differ from speed?

Velocity is a vector quantity, meaning it has both magnitude (numerical value) and direction. Speed, on the other hand, is a scalar quantity and only has magnitude.

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