A paricle starting from the origin (0,0) moves in a straight line in `(x,y)` plane. Its coordinates at a later time are `(sqrt(3),3)`. The path of the particle makes with the x-axis an angle of

Options

A. `30^(@)`
B. `45^(@)`
C. `60^(@)`
D. `0^(@)`

Answer

C

Explanation

`vecd = vecAB=(sqrt(3)hati - 3hatj)`
`costheta=(dhati)/(|vecd||hati|)=(sqrt(3))/(sqrt(12)xx1)=(1)/(2)`
`" "theta=60^(@)`