# Speed

Speed indicates how much the position of a moving object changes in space per unit of time. The symbol for speed is v, derived from the Latin word vēlōcitās - speed. The SI unit of speed is meters per second (m/s or m·s-1)

## Speed

$$v=\frac{s}{t}$$

where,

s— displacement
t— time taken.

## Equation of uniformly accelerated linear motion

The equation of uniformly accelerated linear motion is a mathematical description of an object's motion where the velocity changes at a constant rate with respect to time.

$$v = v_0 + at$$

where,

v0— initial velocity
v— final velocity
a— acceleration
t— time of motion.

## Projectile motion velocity

This formula is applicable only for uniformly thrown bodies in the vertical direction, assuming air resistance and other factors are negligible.

$$v = v_0 - gt$$

where,

v0— initial velocity
v— final velocity
g— gravitational acceleration on Earth
t— time of motion.

## Average Speed

In the case of non-uniform motion, the average speed, which is the ratio of the total displacement to the total time taken, can be calculated:

$$\bar{v}=\frac{\Delta s}{\Delta t}$$

## Speed of Light in Vacuum

$$c=299\, 792\, 458\, \mathrm{m/s}$$