Question

A particle starting from origin(0,0)moves in a straight line in the (x, y)plane. its coordinates at later time are (3^1/2,3).the path of th particle makes with the x-axis an angle of ; options are 1)30° 2)45° 3)60° 4)0°

Answer 1

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Answer 2

Answer:

The path of the particle makes with the x-axis an angle of 60°.

Explanation:

Given that,

Coordinates $(x,y)= (\sqrt{3},3)$

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

The path of the particle makes with the x-axis an angle is

$tan\theta=\dfrac{y}{x}$

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

$tan\theta=tan\ 60^{\circ}$

$\theta = 60^{\circ}$

Hence, The path of the particle makes with the x-axis an angle of 60°.