2026-02-08 16:15

Status: #developing

Tags: #physic

Distance Position Displacement

Key Terms:

• Entity: Anything measurable scientifically
• Scalars: Magnitude only entity, eg. Mass, Temp(C)
• Vectors: Magnitude and Directional Entity

Distance (d):

• Scalar unit
• Path Length of function given t is defined and restricted as $t\in [x,y]$

Position ($\overrightarrow{r}$)

• Vector Unit
• Distance and direction from reference point ($\overrightarrow{r_0}$)

Displacement ($\mathrm{\Delta }\overrightarrow{r}$)

• Vector unit
• Change in positions with respect to ($\overrightarrow{r_o}$)
  • $\mathrm{\Delta }\overrightarrow{r}=\overrightarrow{r_a}-\overrightarrow{r_b}$

Total Displacement ($\mathrm{\Delta }\overrightarrow{x_t}$)

• Total of all defined displacements (n-1) of all positions (n)$$\mathbb{\Delta }\overrightarrow{x_t}=\sum _{z=0}^{n-1}\mathrm{\Delta }\overrightarrow{x_{n-z}}$$

Resultant Displacement ($\mathrm{\Delta }\overrightarrow{x_r}$)

• Difference between final defined position and reference point:
  • $\mathrm{\Delta }\overrightarrow{x_r}=\overrightarrow{x_n}-\overrightarrow{x_0}$

References