Barrons AP Calculus

(c)

v   =   −3  sin t,  2   cos t

a   =   −3  cos t,  −2  sin t   =   −R.

The acceleration,   then,   is  always  directed    toward  the center  of  the ellipse.

At   ,

At  t 2     =   π,

R 2     =   −3, 0

v 2     =   0,  −2

a 2     =   3,  0