Describe the Motion of a Particle with Position $( x , y )$

Multiple Choice

Describe the motion of a particle with position $( x , y )$ as t varies in the given interval $0 \leq t \leq 2 \pi$ . $x = 8 \sin t , y = 5 \cos t$

A) Moves once counterclockwise along the circle $x ^ { 2 } + y ^ { 2 } = 1$ starting and ending at $( 0 , - 5 )$ .
B) Moves once counterclockwise along the ellipse $\frac { x ^ { 2 } } { 64 } + \frac { y ^ { 2 } } { 25 } = 1$ starting and ending at $( 0,5 )$ .
C) Moves once counterclockwise along the ellipse $\frac { x ^ { 2 } } { 5 } + \frac { y ^ { 2 } } { 8 } = 1$ starting and ending at $( - 5,0 )$ .
D) Moves once clockwise along the ellipse $\frac { x ^ { 2 } } { 64 } + \frac { y ^ { 2 } } { 25 } = 1$ starting and ending at $( 0,5 )$ .
E) Moves once clockwise along the circle $( 8 x ) ^ { 2 } + ( 5 y ) ^ { 2 } = 1$ starting and ending at $( 0,5 )$ .