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CalculusMediumParametric, Polar and Vector-Valued Functions

Parametric, Polar and Vector-Valued Functions · Medium problem

A particle has position r(t)=⟨t3,  t2−4t⟩\mathbf{r}(t)=\langle t^3,\;t^2-4t\rangle. Find the positive value of tt at which its velocity and acceleration vectors are parallel.