what does the slope of a position-time graph measure?

The slope is a measure of the velocity of the moving object. More specifically,

the slope gives information about how the velocity is changing with time.

If the velocity is constant, then the slope is constant (a straight line).

If the velocity is changing, then the slope changes as well: acceleration, which is

a positive increase in velocity, results in a positive and increasing slope. It will look

like an upward curving line on the graph.

A negative acceleration, which is a decrease in velocity, results in a negative and decreasing

slope. It will look like a downward curving line on the graph.

What Does The Slope Measure

Velocity

To know how read below...

Draw a graph with position on y axis and time on x axis.

Slope is nothing but tan a where a is the angle.

Just draw a line at any angle "a" from x axis. Mark its x cooridinate as "t" and y coordinate as "s"

Now tan a = Perpendicular side/ Base

tan a = s/t Here s is position and t is time so tan a = position/time so tan a = velocity....

Proved

Slope is given by 'y'/ 'x'.

IT THE TANGENT VALUE OF THE ANGLE LINE MAKES WITH THE TIME -AXIS