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Multivariable CalculusMediumCurves & Motion

Curves & Motion · Medium problem

A particle moves along r(t)=(3t2, 2t, 2t3)\mathbf r(t) = \left(3 t^{2},\ 2 t,\ 2 t^{3}\right). Find the SQUARE of its speed at t=1t = 1.