# Initial Velocity

Written by Jerry Ratzlaff on . Posted in Classical Mechanics

## Initial Velocity

Initial velocity ( $$v_i$$ ) is the starting point at which motion begins.

### Initial Velocity Formula

$$v_i = v_f \;-\; at$$          $$initial \; velocity \;= \; final \; velocity \;-\; \left( \; acceleration \;\;x\;\; time \; taken \; \right)$$

$$v_i^2 = v_f^2 \;-\; 2as$$          $$initial \; velocity^2 \;=\; final \; velocity^2 \;-\; 2 \;\;x\;\; acceleration \;\;x\;\; displacement$$

$$v_i = \frac { s }{ t } \;-\; \frac { 1 }{ 2 } at$$          $$initial \; velocity \;=\; \frac { displacement }{ time \; taken } \;-\; \frac { 1 }{ 2 } \; acceleration \;\;x\;\; time \; taken$$

$$v_i = 2 \bar {v} \;-\; v_f$$          $$initial \; velocity \;=\; 2 \;\;x\;\; average \; velocity \;-\; final \; velocity$$

Where:

$$v_i$$ = initial velocity

$$a$$ = acceleration

$$s$$ = displacement

$$t$$ = time taken

$$\bar {v}$$ = average velocity

$$v_f$$ = final velocity