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

Updated On: Jul 5, 2022
  • $30^{\circ}$
  • $45^{\circ}$
  • $60^{\circ}$
  • $0^{\circ}$
Hide Solution
collegedunia
Verified By Collegedunia

The Correct Option is C

Solution and Explanation

Draw the situation as shown. $O A$ represents the path of the particle starting from origin $O(0,0)$. Draw a perpendicular from point $A$ to $x$-axis. Let path of the particle makes an angle $\theta$ with the $x$-axis, then
$\tan \theta=$ slope of line $O A$ $=\frac{A B}{O B}=\frac{3}{\sqrt{3}}=\sqrt{3}$ or $\theta =60^{\circ}$
Was this answer helpful?
0
0

Questions Asked in AIIMS exam

View More Questions

Concepts Used:

Motion in a straight line

The motion in a straight line is an object changes its position with respect to its surroundings with time, then it is called in motion. It is a change in the position of an object over time. It is nothing but linear motion. 

Types of Linear Motion:

Linear motion is also known as the Rectilinear Motion which are of two types:

  1. Uniform linear motion with constant velocity or zero acceleration: If a body travels in a straight line by covering an equal amount of distance in an equal interval of time then it is said to have uniform motion.
  2. Non-Uniform linear motion with variable velocity or non-zero acceleration: Not like the uniform acceleration, the body is said to have a non-uniform motion when the velocity of a body changes by unequal amounts in equal intervals of time. The rate of change of its velocity changes at different points of time during its movement.