A particle starting from origin (0,0) moves in a straight line in (x, y) plane. Its coordinates at a

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3-1.Vectors

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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 $(\sqrt 3,3)$ . The path of the particle makes with the $x -$ axis an angle of ....... $^o$

A

$0$

B

$30$

C

$45$

D

$60$

Solution

Let $\theta$ be the angle which the particle makes with an $x$ $-axis.$

From figure,

$\tan \theta=\frac{3}{\sqrt{3}}=\sqrt{3}$

or, $\theta=\tan ^{-1}(\sqrt{3})=60^{\circ}$

Standard 11

Physics

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