2026-02-08 16:47

Status: #developing

Tags: #physic

1.2 Speed and Velocity

Speed (s)

• Scalar Unit
• Path Distance given time ($\frac{d}{t}$)

Instantaneous speed (v)

• Speed at a specific point of time in a s(t) function
  • $v=\frac{ds}{dt}$

Average speed ($v_{av}$)

• Speed over a defined period of time
  • $v_{av}=\frac{d}{\mathrm{\Delta }t}$

Velocity

• Vector unit
• Rate of change of displacement

Instantaneous Velocity ($\overrightarrow{v}$)

• Velocity at a given instant of time (derivative of $\overrightarrow{r}(t)$ function)
  • $\overrightarrow{v}=\frac{d\overrightarrow{r}}{dt}$

Average Velocity ($\overrightarrow{v_{avg}}$)

• Average velocity over a defined period of time
  • $\overrightarrow{v_{avg}}=\frac{\mathrm{\Delta }\overrightarrow{r}}{\mathrm{\Delta }t}$

References

1.1 Distance Position Displacement