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