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Problem
Problem
A particle moves along the curve
y
=
x
2
2
y = \frac{x^2}{2}
y
=
2
x
2
. Here
x
x
x
varies with time as
x
=
t
2
2
x = \frac{t^2}{2}
x
=
2
t
2
. Where
x
x
x
and
y
y
y
are measured in metres and
t
t
t
in seconds. At
t
=
2
s
t = 2 \text{ s}
t
=
2
s
, the velocity of the particle (in
ms
−
1
\text{ms}^{-1}
ms
−
1
) is a.
4
i
^
+
6
j
^
4\hat{i} + 6\hat{j}
4
i
^
+
6
j
^
b.
2
i
^
+
4
j
^
2\hat{i} + 4\hat{j}
2
i
^
+
4
j
^
c.
4
i
^
+
2
j
^
4\hat{i} + 2\hat{j}
4
i
^
+
2
j
^
d.
4
i
^
+
4
j
^
4\hat{i} + 4\hat{j}
4
i
^
+
4
j
^
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