Displacement-time
graph of various types of motion of a body:
Case-1:
Description of motion:
For a stationary body, the displacement- time graph is a St. line
AB parallel
to time axis. The graph for such a
motion would be
Interpretation: The
slope of st. Line AB (representing instantaneous velocity) is zero, i.e.,
velocity is zero.
Case-2
Description of motion:
When .a body, is moving with a zero acceleration or a constant
velocity, then displacement-
time graph wall be
(i) a St. line OA, inclined to time axis if the body has zero
initial
displacement
(ii) a St. line BC if body has initial displacement x,
where OB = x
The graph for such a
motion would be
Interpretation: Greater is the slope of St. Line OA, higher will be the velocity, i.e., velocity
is
constant.
Case-3:
Description of motion:
When a body is moving with
a constant acceleration, the
displacement- time graph is a curve with bend
upwards.
(1) The curve OA corresponds to zero initial displacement curve,
BC
corresponds to initial displacement x.
The graph for such a
motion would be
Interpretation: The
slope of time-displacement curve (i.e. instantaneous velocity) increases
with
time, i.e., velocity is increasing with time.
Case-4:
Description of motion:
When a body is moving with
a constant retardation, the
displacement- time graph is a curve with bend
downwards.
The graph for such a
motion would be
Interpretation:
The slope of time-displacement
curve (i.e. instantaneous velocity) decreases
with time, i.e., velocity is
decreasing with time.
Case-5:
Description of motion:
When a body is moving with
infinite velocity, the
displacement-time curve is a St. line AB parallel to
displacement
axis.
The graph for such a
motion would be
Interpretation: Such
motion of a body is never possible as velocity is infinity.
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