A particle’s position is given by with for

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

Problem

A particle’s position is given by

r = 3\cos\theta

with

\theta(t) = t^{2}

for

t \ge 0

. Find the magnitude of the velocity vector when

t = 1