Graphical representation of motion
Tanusri Gururaj, Academic content writer of Physics at Edumarz
Distancetime graph:

Distance is along the yaxis and, time is along the xaxis.

A distancetime graph is used to calculate the speed of the object. The slope of the graph gives the speed.

The distancetime graph for an object moving at uniform speed is shown below
To calculate speed from the above graph, take two points A and, B on the line. Let us assume that point A is (10, 2) and point B is (25, 5).
Since the slope of the graph gives the speed,
Slope = speed = vertical difference/horizontal difference.
Speed = ((52)/(25 – 10)) m/s
Speed = 3/15 = 1/5 = 0.2 m/s
Similarly, we can calculate the velocity of an object if it is a displacementtime graph where displacement is along the yaxis and, time is along the xaxis.
Velocitytime graph:

Velocity is along the yaxis and, time is along the xaxis.

The area under the velocitytime graph represents the displacement as,
Displacement = Velocity x Time

The slope of this graph gives the acceleration as acceleration is the rate of change of velocity.

If the graph is parallel to the time axis it means that the velocity of the body is constant and, hence, the acceleration will be zero.

The Velocitytime graph for an object moving with uniform acceleration is shown below.

The Velocitytime graph for an object moving with nonuniform acceleration is shown below.