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Byju's Answer
Standard XII
Physics
Instantaneous Velocity
The position ...
Question
The position of an object by
¯
r
=
(
9
t
^
i
+
4
t
3
^
j
)
m
.
Find its velocity at time t = 1 s.
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Solution
We know that velocity at any instant is nothing but time derivative of position at that instant. So
→
v
=
d
→
r
/
d
t
=
(
9
^
i
+
12
t
2
^
j
)
m
/
s
So put
t
=
1
s
we get
→
v
=
(
9
^
i
+
12
^
j
)
m
/
s
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