For , a particle moves so that and . Determine the time in this interval at which the…

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

Problem

For

0 < t < \dfrac{\pi}{2}

, a particle moves so that

r = 4\sin\theta

and

\theta = t

. Determine the time

t

in this interval at which the particle’s speed is maximal.