For the circular motion given by with in seconds

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

Problem

For the circular motion given by

r(t)=\langle 3\cos t,\;3\sin t\rangle

with

t

in seconds, determine the direction of the acceleration vector at

t=0

and explain in one sentence whether the particle is speeding up, slowing down, or moving at constant speed at that instant.