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Byju's Answer
Standard XII
Physics
Intuition for COM
At an instant...
Question
At an instant t ,the coordinates of a particle are x=at2,y=bt2,z=0,then its velocity at that instant when its acceleration is zero will be
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Q.
A particle is moving so that its displacement s s given as
s
=
t
3
−
6
t
2
+
3
t
+
4
meter. Its velocity at the instant when its acceleration is zero will be -
Q.
A particle moves in the
x
−
y
plane and at time
t
, it is at the point whose coordinates are
(
t
2
,
t
3
−
2
t
)
. Then at what instant of time will its velocity and acceleration vectors be perpendicular to each other?
Q.
Velocity and acceleration of a particle at some instant of time are
v
=
(
3
^
i
+
4
^
j
)
m
s
−
1
and
a
=
−
(
6
^
i
+
8
^
j
)
m
s
−
2
respectively. At the same instant particle is at origin. Maximum x-coordinate of particle will be
Q.
The position of a particle as a function of time
t
,
is given by
x
(
t
)
=
a
t
+
b
t
2
−
c
t
3
Where,
a
,
b
and
c
are constants. When the particle attains zero acceleration, then its velocity will be-
Q.
Assertion :A particle may be momentarily at rest and yet have non-zero acceleration Reason: The zero velocity of a particle at any instant does not necessarily imply zero acceleration at that instant.
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