Velocity is position vector derivative¶

Instantaneous velocity is the derivative of the body’s position vector w.r.t. time.

Notes:

Also see the scalar counterpart of this law.

Links:

Wikipedia — Velocity.

time¶: time.

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

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

position_vector¶: Vector of the body’s position as a function of time. Also see euclidean_distance.

Symbol:: d(t)
Latex:: \({\vec d} \left( t \right)\)
Dimension:: length

law¶

v(t) = Derivative(d(t), t)

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