A particle is moving with a velocity v = K ( y i ^ + x j ^ ) , where K is a constant. The general equation for its path is:

d t d x = Ky , d t d y = K x d x d y = y x ⇒ y d y = x d x Integrating: y 2 = x 2 + c . Correct option: (B)

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PhysicsKinematics2-D & 3DMedium2 minQB

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A particle is moving with a velocity $\overline{v} = K (y \hat{i} + x \hat{j})$ , where K is a constant. The general equation for its path is:

Answer:

Solution:

$\frac{d x}{d t} = Ky, \frac{d y}{d t} = K x$

$\frac{d y}{d x} = \frac{x}{y} \Rightarrow y d y = x d x$

Integrating: $y^{2} = x^{2} + c$ .

Correct option: (B)

Subject:PhysicsTopic:KinematicsSubtopic:2-D & 3D

⏱ 2mℹ️ Source: QB

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