The rate of acceleration.
flat
The slope of a speed vs time graph indicates an objects acceleration.
If you graph distance vs. time, the slope of the line will be the average speed.
acceleration.
instantaneous velocity
"Slope" is the steepness of the line on any graph.
It gives the velocity of the object in the radial direction. The graph gives no information whtsoever about motion in a transverse direction.
distance = velocity x time so on the graph velocity is slope. If slope is zero (horizontal line) there is no motion
The slope of a position/time graph is the speed (magnitude of velocity).If the graph's slope is changing, that means the speed is changing, andthat would be accelerated motion.
That slope is the 'speed' of the motion. If the slope is changing, then the speed is changing. That's 'accelerated' motion. (It doesn't matter whether the speed is growing or shrinking. It's still 'accelerated' motion. 'Acceleration' does NOT mean 'speeding up'.)
Steep slope on a distance/time graph indicates high speed.
flat
A change in the slope of a location-time graph of an object indicates a change in the radial component of its speed.
The slope of the speed/time graph is the magnitude (size) of the object's acceleration.
The slope of a speed vs time graph indicates an objects acceleration.
If you graph distance vs. time, the slope of the line will be the average speed.
The motion at constant speed.