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Byju's Answer
Standard XII
Physics
Instantaneous Velocity
Find the time...
Question
Find the time dependence of the velocity
→
v
vector.
A
→
v
=
2
a
→
i
−
b
t
→
j
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B
→
v
=
−
2
a
→
i
−
2
b
t
→
j
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C
→
v
=
−
2
a
→
i
−
b
t
→
j
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D
→
v
=
a
→
i
−
2
b
t
→
j
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Solution
The correct option is
C
→
v
=
a
→
i
−
2
b
t
→
j
Given,
x
=
a
t
,
y
=
−
b
t
2
Thus
v
x
=
a
,
v
y
=
−
2
b
t
Hence,
→
v
=
a
→
i
−
2
b
t
→
j
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0
Similar questions
Q.
Find the time dependence of the angle
α
between the vectors
→
w
and
→
v
where
→
w
is the acceleration and
→
v
is the velocity.
Q.
For any two vectors
→
u
&
→
v
find
(
→
u
.
→
v
)
2
+
|
→
u
×
→
v
|
2
−
|
→
u
|
2
|
→
v
|
2
.
Q.
Let
→
v
be a vector in the plane such that
|
→
v
−
→
i
|
=
|
→
v
−
→
2
i
|
=
|
→
v
−
→
j
|
. Then
|
→
v
|
lies in the interval.
Q.
→
u
,
→
v
,
→
w
be such that
|
→
u
|
=
1
,
|
→
v
|
=
2
,
|
→
w
|
=
3.
If the projection of
→
v
along
→
u
is equal to that of
→
w
along
→
u
and vectors
→
v
,
→
w
are perpendicular to each other then
|
→
u
−
→
v
+
→
w
|
equals
Q.
If
→
V
is a
3
−
dimensional vector satisfying
2
→
V
+
→
V
×
(
^
i
+
2
^
j
)
=
2
^
i
+
^
k
,
then the value of
9
|
→
V
|
2
is
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