Velocity relative to reference frame¶

For any reference frame, whether it is inertial or not, the motion relative to it can be described using the position vector relative to that frame’s origin.

Links:

time¶: time.

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

relative_velocity¶: Vector of the body’s speed relative to \(S\) as a function of time.

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

position_vector¶: Vector of the body’s position relative to \(S\) as a function of time.

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

law¶

v(t) = Derivative(r(t), t)

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