Question

How can you determine an object's average velocity from a position time graph

Answer 1

The average velocity can be calculated from the slope of the graph

Explanation:

In a position-time graph, the position is represented on the y-axis while the time is represented on the x-axis.

The slope of the graph is given by:

$m=\frac{\Delta y}{\Delta x}$

where

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

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

However, we have:

• $\Delta y$ corresponds to the change in position, therefore it is the displacement
• $\Delta x$ corresponds to the change in time

This means that the slope can be rewritten as

$m=\frac{displacement}{time}$

However, this ratio corresponds to the definition of average velocity:

$velocity = \frac{displacement}{time}$

Therefore, the slope of a position-time graph gives the average velocity.

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