Question:
A person standing on an open ground hears the sound of a jet aeroplane, coming from north at an angle $60^\circ$ with ground level. But he finds the aeroplane right vertically above his position. If $\upsilon$ is the speed of sound, speed of the plane is :
A person standing on an open ground hears the sound of a jet aeroplane, coming from north at an angle $60^\circ$ with ground level. But he finds the aeroplane right vertically above his position. If $\upsilon$ is the speed of sound, speed of the plane is :
Updated On: Sep 27, 2024
- $\frac{2\upsilon}{\sqrt{3}}$
- $\upsilon$
- $\frac{\upsilon}{2}$
- $\frac{\sqrt{3}}{2}\upsilon$
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The Correct Option is C
Solution and Explanation
$AB =V_{p}\times t $
$ BC = Vt $
$ \cos60^{\circ} = \frac{AB}{BC}$
$ \frac{1}{2} = \frac{V_{p}\times t}{Vt} $
$ V_{p} = \frac{V}{2} $
$ BC = Vt $
$ \cos60^{\circ} = \frac{AB}{BC}$
$ \frac{1}{2} = \frac{V_{p}\times t}{Vt} $
$ V_{p} = \frac{V}{2} $
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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:
- 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.
- 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.