# Velocity

Velocity ( \(v\) ) (VEL) is the rate of change or displacement with time. Velocity is a vector quantity having magnitude and direction. The scalar absolute value of magnitude of the velocity vector is the speed of the motion.

Speed ( \(u\) ) is the rate of change or distance with time. Speed is a scalar quantity having direction.

Speed is a scalar quantity having direction, some of these include area, density, energy, entropy, length, mass, power, pressure, temperature, volume, and work.

Velocity is a vector quantity having magnitude and direction, some of these include acceleration, displacement, drag, force, lift, momentum, thrust, torque, and weight.

### Velocity Formula

\(\large{ v = \frac { d } { t } }\)

\(\large{ v = v_i + at }\)

Where:

\(\large{ v }\) = velocity

\(\large{ a }\) = acceleration

\(\large{ d }\) = displacement

\(\large{ t }\) = time

\(\large{ v_i }\) = initial velocity

Solve for:

\(\large{ t = \frac { d } { v } }\)

\(\large{ v_i = v - at }\)

Tags: Equations for Velocity