The slope of a distance-time graph represents speed.
The slope of a line on a position vs. time graph would represent the a velocity of the object being described.
The slope of the speed/time graph is the magnitude of acceleration. (It's very difficult to draw a graph of velocity, unless the direction is constant.)
instantaneous magnitude of velocity
The rate of change in accelleration.
The slope of a velocity-time graph represents acceleration.
The slope of a velocity-time graph represents acceleration.
The slope of a distance-time graph represents speed.
The slope of a line on a position vs. time graph would represent the a velocity of the object being described.
The slope of the speed/time graph is the magnitude of acceleration. (It's very difficult to draw a graph of velocity, unless the direction is constant.)
The gradient (slope) of the line on the graph.
If velocity is constant, the slope of the graph on a position vs. time graph will be a straight line. The slope of this line will represent the constant velocity of the object.
speed
velocity.
The slope of a speed-time graph represents acceleration. A steeper slope indicates a greater rate of change in speed, which means higher acceleration. Conversely, a shallower slope indicates lower acceleration.
The rate of Change in acceleration.
For example, if the slope at a certain point is 1.5, you can draw a line that goes through the specified point, with that slope. The line would represent the slope at that point. If you want to graph the slope at ALL POINTS, take the derivative of the function, and graph the derivative. The derivative shows the slope of a function at all points.