For , the position of a particle is . Determine whether the particle moves with…

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

Problem

For

0\le t\le 2\pi

, the position of a particle is

\mathbf r(t)=\langle 3\cos t,\,3\sin t,\,4t\rangle

. Determine whether the particle moves with constant speed, and state that speed if it is constant.