# Displacement

Written by Jerry Ratzlaff on . Posted in Classical Mechanics

Displacement, abbreviated as d or DISP, is the change in position.  Displacement is a vector quantity having magnitude and direction, some of these include acceleration, drag, force, lift, momentum, thrust, torque, velocity, and weight.

## Displacement formulas

 $$\large{ d = \Delta x }$$ $$\large{ d = x_f - x_i }$$ $$\large{ d = v \; t }$$

### Where:

 Units English Metric $$\large{ d }$$ = displacement $$\large{ft}$$ $$\large{m}$$ $$\large{ \Delta x }$$ = position change $$\large{ft}$$ $$\large{m}$$ $$\large{ x_f }$$ = final position $$\large{ft}$$ $$\large{m}$$ $$\large{ x_i }$$ = initial position $$\large{ft}$$ $$\large{m}$$ $$\large{ t }$$ = time $$\large{sec}$$ $$\large{s}$$ $$\large{ v }$$ = velocity $$\large{\frac{ft}{sec}}$$ $$\large{\frac{m}{s}}$$

## Related formulas

 $$\large{ d = v_i \; t + \frac {1}{2} \; a \; t^2 }$$ (acceleration) $$\large{ d = A \; sin \; ( \omega \; t ) }$$ (amplitude) $$\large{ d = \frac {P_d \; t}{F} }$$ (displacement power) $$\large{ d = x_f - x_i }$$ (final position) (initial position) $$\large{ d = \frac {\tau}{F} }$$ (torque) $$\large{ d = \frac{W}{F} }$$ (work)

### Where:

$$\large{ d }$$ = displacement

$$\large{ a }$$ = acceleration

$$\large{ A }$$ = amplitude

$$\large{ \omega }$$   (Greek symbol omega) = angular frequency

$$\large{ P_d }$$ = displacement power

$$\large{ F }$$ = force

$$\large{ x_f }$$ = final position

$$\large{ x_i }$$ = initial position

$$\large{ P }$$ = power

$$\large{ t }$$ = time

$$\large{ \tau }$$  (Greek symbol tau) = torque

$$\large{ v_i }$$ =  initial velocity

$$\large{ W }$$ = work