The position of a particle moving in the -plane is given by and

MATHEMATICS · Subjective · CBSE · Mathematics · Continuity and Differentiability · Continuity and Differentiability

Problem

The position of a particle moving in the

xy

-plane is given by

x(t)=t^3-3t^2

and

y(t)=12t-3t^2

. At what point

(x,y)

is the particle at rest?