A particle is moving with a velocity

MATHEMATICS · Single correct · AP · Calculus BC · Parametric, Polar, and Vector-Valued Functions · Parametric, Polar, and Vector-Valued Functions

Problem

\vec{v} = K(y\hat{i} + x\hat{j})

, where

K

is a constant. The general equation for its path is: (1)

y = x^2 + \text{constant}

(2)

y^2 = x + \text{constant}

(3)

y^2 = x^2 + \text{constant}

(4)

xy = \text{constant}