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Byju's Answer
Standard XI
Physics
Position vs time graph
Shape of posi...
Question
Shape of position-time graph represents actual trajectory of the particle.
A
True
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B
False
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Solution
The correct option is
B
False
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Similar questions
Q.
Figure shows the
position
−
time
graph for a particle in one-dimensional motion. Which of the graphs in figure represent the variation in the velocity of the particle with time?
Q.
The position of a particle is given by
y = a cosωt
x = a sinωt
Then, find the shape of the trajectory of the path.
Q.
Position of a particle moving in
x
−
y
plane as function of time t
2
t
i
+
4
t
2
j
. Equation of trajectory of the particle is
Q.
Path traced by a moving particle in space is called trajectory of the particle. Shape of trajectory is decided by the forces acting on the particle. When a coordinate system is associated with a particle's motion, the curve equation in which the particle moves
[
y
=
f
(
x
)
]
is called equation of trajectory. It is just giving us the relation among
x
and
y
coordinates of the particle i.e. the locus of particle. To find equation of trajectory of a particle, find first
x
and
y
co-ordinates of the particle as a function of time and eliminate the time factor. The position vector of car w.r.t. its starting point is given as
→
r
=
a
t
^
i
−
b
t
2
^
j
where
a
and
b
are positive constants. The locus of a particle is
Q.
A particle moves so that its position as a function of time in MKS unit is
→
r
=
ˆ
i
+
4
t
2
ˆ
j
+
t
ˆ
k
. The trajectory of the particle is
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