Acceleration is speed derivative

Acceleration describes how quickly speed changes with time.

Notes:

  1. It still holds for special relativity and general relativity cases, but general relativity requires

    4-velocity and 4-acceleration instead of speed and acceleration. See Wikipedia – Acceleration (special relativity) for reference.

Links:

  1. Wikipedia – Instantaneous acceleration

time

time.

Symbol:

t

Latex:

\(t\)

Dimension:

time

acceleration

acceleration of the body as a function of time.

Symbol:

a(t)

Latex:

\(a{\left(t \right)}\)

Dimension:

acceleration

speed

speed of the body as a function of time.

Symbol:

v(t)

Latex:

\(v{\left(t \right)}\)

Dimension:

velocity

definition

a(t) = Derivative(v(t), t)

Latex:
\[a{\left(t \right)} = \frac{d}{d t} v{\left(t \right)}\]