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.
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| Displacement-time graph-1 |
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.
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| Displacement-time graph |
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.
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| Displacement-time graph |
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.
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| Displacement-time graph |
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.
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| Displacement-time graph |
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.
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| Displacement-time graph |
The displacement of body decreases with the time w.r.t. to the reference point, till it becomes zero.
