## Displacement-time graph

Displacement-time graph of the various types of motion of a body.

1. For a stationary body, the displacement- time graph is a straight line AB parallel to time axis.

In the above graph the slope of straight line AB (representing instantaneous velocity) is zero.

2. When a body, is moving with a constant velocity, then displacement- time graph will be a straight line OA, inclined t the time axis.

Greater is the slope of straight line OA, higher will be the velocity.

3. When a body is moving with a constant acceleration, displacement- time graph is a curve with bend upwards.

The slope of displacement- time graph (i.e. instantaneous velocity) increases with time.

4. When a body is moving with a constant retardation, the displacement- time graph is a curve with bend downwards.

The slope of displacement- time curve (i.e. instantaneous velocity) decreases with time.

5.When a body is moving with infinite velocity, the displacement– time graph is a straight line AB parallel to displacement axis.

Such motion of a body is never possible.

6.When a body returns back towards the original point of the reference while moving with uniform negative velocity, the displacement- time graph is an oblique straight line AB, making an angle θ > 90⁰ with the time axis.

The displacement of body decreases with the time w.r.t. to the reference point, till it becomes zero.