ap-calculus-bc 2012 Q2

ap-calculus-bc · Usa · practice-exam Parametric differentiation
The position of a particle moving in the $x y$-plane is given by the parametric equations $x ( t ) = t ^ { 3 } - 3 t ^ { 2 }$ and $y ( t ) = 12 t - 3 t ^ { 2 }$. At which of the following points $( x , y )$ is the particle at rest?
(A) $( - 4,12 )$
(B) $( - 3,6 )$
(C) $( - 2,9 )$
(D) $( 0,0 )$
(E) $( 3,4 )$
The position of a particle moving in the $x y$-plane is given by the parametric equations $x ( t ) = t ^ { 3 } - 3 t ^ { 2 }$ and $y ( t ) = 12 t - 3 t ^ { 2 }$. At which of the following points $( x , y )$ is the particle at rest?

(A) $( - 4,12 )$

(B) $( - 3,6 )$

(C) $( - 2,9 )$

(D) $( 0,0 )$

(E) $( 3,4 )$