Physics-
General
Easy
Question
Acceleration velocity graph of a particle moving in a straight line is as shown in figure. The slope of velocity-displacement graph
![](data:image/png;base64,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)
- Increases linearly
- Decreases linearly
- Is constant
- Increases parabolically
The correct answer is: Is constant
From acceleration-velocity graph, we have
where
is a constant which represents the slope of the given line.
As,
so ![v equals fraction numerator d v over denominator d s end fraction equals k v](data:image/png;base64,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)
or
constant
Thus, the slope of velocity-displacement graphs is same as that of acceleration velocity. Which is constant.
Related Questions to study
Physics-
A cyclist starts from the centre
of a circular park of radius one kilometre, reaches the edge
of the park, then cycles along the circumference and returns to the centre along
as shown in figure. If the round trip takes ten minutes, the net displacement and average speed of the cyclist (in metre and kilometre per hour) is
![](data:image/png;base64,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)
A cyclist starts from the centre
of a circular park of radius one kilometre, reaches the edge
of the park, then cycles along the circumference and returns to the centre along
as shown in figure. If the round trip takes ten minutes, the net displacement and average speed of the cyclist (in metre and kilometre per hour) is
![](data:image/png;base64,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)
Physics-General
maths-
If
then solutions of
are in -
If
then solutions of
are in -
maths-General
maths-
In
, care in H.P., then
, Sin2
, Sin2
are in
In
, care in H.P., then
, Sin2
, Sin2
are in
maths-General
maths-
Solution of
is
Solution of
is
maths-General
maths-
If
then the general solution of ![A over 2 equals](data:image/png;base64,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)
If
then the general solution of ![A over 2 equals](data:image/png;base64,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)
maths-General
physics-
The graph between the displacement
and
for a particle moving in a straight line is shown in figure. During the interval
and
the acceleration of the particle is
![](data:image/png;base64,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)
, ![C D](data:image/png;base64,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)
The graph between the displacement
and
for a particle moving in a straight line is shown in figure. During the interval
and
the acceleration of the particle is
![](data:image/png;base64,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)
, ![C D](data:image/png;base64,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)
physics-General
maths-
then the general solution of
=
then the general solution of
=
maths-General
physics-
Velocity-time
-
graph for a moving object is shown in the figure. Total displacement of the object during the same interval when there is non-zero acceleration and retardation is
![](data:image/png;base64,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)
Velocity-time
-
graph for a moving object is shown in the figure. Total displacement of the object during the same interval when there is non-zero acceleration and retardation is
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)
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maths-
In
![R to the power of 2 end exponent left parenthesis blank s i n blank 2 A plus blank s i n blank 2 B plus blank s i n blank 2 C right parenthesis equals](data:image/png;base64,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)
In
![R to the power of 2 end exponent left parenthesis blank s i n blank 2 A plus blank s i n blank 2 B plus blank s i n blank 2 C right parenthesis equals](data:image/png;base64,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)
maths-General
maths-
then the general solution of
=
then the general solution of
=
maths-General
maths-
Solution of
is
Solution of
is
maths-General
maths-
The general solution of
is
The general solution of
is
maths-General
maths-
If ![Sin space A equals Sin space B comma Cos space A equals Cos space B text then end text A equals](data:image/png;base64,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)
If ![Sin space A equals Sin space B comma Cos space A equals Cos space B text then end text A equals](data:image/png;base64,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)
maths-General
maths-
In
(B-C) ![equals](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABEAAAAJCAYAAADU6McMAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAIzv8arAAAABZJREFUeNpjYMAE/4nAQwgMM+8MYQAAvYER7yMcYioAAABJdEVYdE1hdGhNTAA8bWF0aCB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMTk5OC9NYXRoL01hdGhNTCI+PG1vPj08L21vPjwvbWF0aD4wTGvlAAAAAElFTkSuQmCC)
In
(B-C) ![equals](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABEAAAAJCAYAAADU6McMAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAIzv8arAAAABZJREFUeNpjYMAE/4nAQwgMM+8MYQAAvYER7yMcYioAAABJdEVYdE1hdGhNTAA8bWF0aCB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMTk5OC9NYXRoL01hdGhNTCI+PG1vPj08L21vPjwvbWF0aD4wTGvlAAAAAElFTkSuQmCC)
maths-General
maths-
If
then principal value of ![theta](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAsAAAANCAYAAAB/9ZQ7AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAMyZLetQAAAJNJREFUeNpjYMAE1kC8DoifAvFBIDZnwAHMoQqZoHxRIL6LS/EFIJZGE9sBxHroCl2AeD4WA5YDsRe64GwgDsKiGOQsN3TBa0D8HwcWR1YI8tAnLKZiFQfp3ItFsSkQr8EVZOigHogT0QV5oMGGDASB+BwQs2EL4ytAnAdlawDxcSD2wRUhelDTfwHxJSD2Y6AEAAAtDR3FA6PhyAAAAE90RVh0TWF0aE1MADxtYXRoIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8xOTk4L01hdGgvTWF0aE1MIj48bWk+JiN4M0I4OzwvbWk+PC9tYXRoPpXIFCkAAAAASUVORK5CYII=)
If
then principal value of ![theta](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAsAAAANCAYAAAB/9ZQ7AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAMyZLetQAAAJNJREFUeNpjYMAE1kC8DoifAvFBIDZnwAHMoQqZoHxRIL6LS/EFIJZGE9sBxHroCl2AeD4WA5YDsRe64GwgDsKiGOQsN3TBa0D8HwcWR1YI8tAnLKZiFQfp3ItFsSkQr8EVZOigHogT0QV5oMGGDASB+BwQs2EL4ytAnAdlawDxcSD2wRUhelDTfwHxJSD2Y6AEAAAtDR3FA6PhyAAAAE90RVh0TWF0aE1MADxtYXRoIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8xOTk4L01hdGgvTWF0aE1MIj48bWk+JiN4M0I4OzwvbWk+PC9tYXRoPpXIFCkAAAAASUVORK5CYII=)
maths-General