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

- 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.

- 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.