Speed-time graphs show speed on the vertical axis and time on the horizontal axis. The gradient of a speed-time graph represents acceleration because: gradient = \( \frac {\text{change in y} ...

of a moving object changes with time. These graphs also show if the object is moving at a constant speed or accelerating, decelerating, or still. Acceleration is shown by a straight rising line.

then the angular speed at some time "t" is the FUNCTION value of ω(t). On the other hand, the angular acceleration α(t) is the TIME DERIVATIVE of ω(t): α(t) = dω(t)/dt. Visually, if you make a plot of ...