A particle moves in $x-y$ plane with velocity $\vec v = a\widehat i\, + \,bx\widehat j$ where $a$ & $b$ are constants. Initially particle was at origin then trajectory equation is:-
A particle moves in $x-y$ plane with velocity $\vec v = a\widehat i\, + \,bx\widehat j$ where $a$ & $b$ are constants. Initially particle was at origin then trajectory equation is:-
- A
$y = \frac{a}{b}x - \frac{1}{2}b{x^2}$
- B
$y = x - \frac{{b{x^2}}}{{2a}}$
- C
$y = \frac{{b{x^2}}}{{2a}}$
- D
None of above
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