A particle projected from origin moves in $x-y$ plane with a velocity $\vec{v}=3 \hat{i}+6 x \hat{j}$, where $\hat{i}$ and $\hat{j}$ are the unit vectors along $x$ and $y$ axis. Find the equation of path followed by the particle
A particle projected from origin moves in $x-y$ plane with a velocity $\vec{v}=3 \hat{i}+6 x \hat{j}$, where $\hat{i}$ and $\hat{j}$ are the unit vectors along $x$ and $y$ axis. Find the equation of path followed by the particle
- A
$y=x^2$
- B
$y=\frac{1}{x^2}$
- C
$y=2 x^2$
- D
$y=\frac{1}{x}$
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$(a)$ If swimmer starts swimming due north, what will be his resultant velocity (magnitude and direction) ?
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