distance-time and velocity-time graphs for uniform motion and uniformly accelerated motion

Uniform Acceleration -  If the change in velocity in equal intervals of time is always the same, then the object is said to be moving with uniform acceleration.

 Example: a body falling from a height towards the surface of the earth.

 Non-uniform or Variable Acceleration- If the change in velocity in equal intervals of time is not the same, then the object is said to be moving with variable acceleration.

Example - A ball thrown vertically upwards is moving with a negative acceleration as the velocity decreases with time.

Graphs for Motion -

 1) Distance-time graphs (s-t graphs)

 a) When the object is stationary or at rest -

The distance time graph for stationary object is the line parallel to time axis.

b) When object is in uniform motion -

The distance time graph for the object moving in uniform motion is the straight line inclined to time axis 

C) When object is in non-uniform motion -

The distance time graph for object moving in non -uniform motion is the curved line. 

Important results of distance time graphs -

1) area under curve of s-t graph = displacement/distance travelled by the object

2) slope of s-t graph = velocity of the object