Vave x 2: Uncovering the Mystery Behind Vf

Thread starter Lovely
Start date Feb 2, 2005
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Mystery

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Vave is derived from the equation Vave = (Vf + Vi)/2, leading to Vf being calculated as Vave multiplied by 2 when initial velocity (Vi) is zero. This relationship highlights that average velocity is the total distance traveled divided by total time taken. By substituting distance (s) from the equations of motion, one can confirm this result. The discussion emphasizes the mathematical foundation behind the average and final velocity calculations. Understanding this relationship is crucial for solving motion problems in physics.

Feb 2, 2005

Lovely

I have searched for this answer all day long.
Why is Vave multiplied by 2 to obtain Vf?

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Feb 3, 2005

sharans

i feel Vave=(Vf+Vi)/2
since Vi=0,we have the result.

Feb 3, 2005

Gokul43201

Staff Emeritus

Science Advisor

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Going by the definitions, we have, for the average velocity :

v_{ave} = \frac{total~distance~traveled}{total~time~taken} = \frac {s}{t}

Now just substitute for s, from the equations of motion to get the required result.

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