How to calculate the slope of position time graph?

Question

asked Aug 26, 2020 226k views

1 Answer

Kampu · Answer 1 · 2020-09-02T11:41:02+0000

Answer:

The slope of a position-time graph can be calculated as:

$m=(\Delta y)/(\Delta x)$

where

$\Delta y$ is the increment in the y-variable

$\Delta x$ is the increment in the x-variable

We can verify that the slope of this graph is actually equal to the velocity. In fact:

$\Delta y$ corresponds to the change in position, so it is the displacement,
$\Delta s$

$\Delta x$ corresponds to the change in time
$\Delta t$ , so the time interval

Therefore the slope of the graph is equal to

$m=(\Delta s)/(\Delta t)$

which corresponds to the definition of velocity.