kinematics
The instantaneous scalar speed is defined as the limit of the ratio as the time interval approaches zero:
\[
v_s = \lim_{\Delta t \to 0} \frac{\Delta x}{\Delta t} = \lim_{\Delta t \to 0} \frac{x(t + \Delta t) – x(t)}{\Delta t}
\]
The instantaneous scalar speed is defined as the limit of the ratio as the time interval approaches zero:
\[
v_s = \lim_{\Delta t \to 0} \frac{\Delta x}{\Delta t} = \lim_{\Delta t \to 0} \frac{x(t + \Delta t) – x(t)}{\Delta t}
\]