Two particles A and B are moving in XY plane. Particle A moves along a line with equation `y =x` while B moves along X axis such that their X coordinates are always equal. If B moves with a uniform speed 3 m/s the speed of A is

Options

A. `3 m//s`
B. `(1)/(3)m//s`
C. `3 sqrt(2) m//s`
D. `(3)/(sqrt(2))m//s`

Answer

C

Explanation

`V cos 45 =3 :. v=3 sqrt(2)m//s`