A particle starting from the origin $(0,0)$ moves in a straight line in the $(x, y)$ plane. Its coor

Question

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

Professor PC Thomas Classes · Answer

(a) : Let $	heta$ be the angle which the path makes with the $x$-axis. \ $	an 	heta = \frac{y}{x} = \frac{\sqrt{3}}{3} = \frac{1}{\sqrt{3}}$. Therefore, $	heta = 30^{\circ}$.