MATHEMATICS · Subjective · AP · Calculus BC · Parametric, Polar, and Vector-Valued Functions · Parametric, Polar, and Vector-Valued Functions
Problem
A particle moves so that r(t)=⟨et−t,31t3−2t⟩ for 0≤t≤3. Determine all values of t in this interval where the particle is momentarily at rest, and state whether each corresponds to a change in the particle’s overall direction of motion.