# Initial Velocity

Written by Jerry Ratzlaff on . Posted in Classical Mechanics

Initial velocity, abbreviated as $$v_i$$, is the starting point at which motion begins.

### Initial Velocity Formula

$$\large{ v_i = v_f - a \; t }$$

$$\large{ v_i = \frac { s }{ t } - \frac { 1 }{ 2 }\; a \; t }$$

$$\large{ v_i = \frac{ v_f }{ a_v \; \left( T_f \;- \; T_i \right) \;+\; 1 } }$$     (volumetric thermal expansion coefficient)

Where:

$$\large{ v_i }$$ = initial velocity

$$\large{ a }$$ = acceleration

$$\large{ s }$$ = displacement

$$\large{ T_f }$$ = final temperature

$$\large{ T_i }$$ = initial temperature

$$\large{ t }$$ = time taken

$$\large{ v_f }$$ = final velocity

$$\large{ \alpha_v }$$  (Greek symbol alpha) = volumetric thermal expansion coefficient