Acceleration is velocity derivative¶

Acceleration is the derivative of velocity w.r.t. time.

Notes:

Also see the scalar counterpart of this law.

Links:

Wikipedia.

time¶: time.

Symbol:: t
Latex:: \(t\)
Dimension:: time

acceleration¶: Vector of the body’s acceleration as a function of time.

Symbol:: a(t)
Latex:: \({\vec a} \left( t \right)\)
Dimension:: acceleration

velocity¶: Vector of the body’s velocity as a function of time. Also see speed.

Symbol:: v(t)
Latex:: \({\vec v} \left( t \right)\)
Dimension:: velocity

law¶

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

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