APFIVE Velocity Vector From Parametric Equations
The position of a particle is given by the parametric equations $$x(t) = t^2 \sin(t)$$, $$y(t) = \displaystyle\frac{1}{t+1}$$. What is the velocity vector at time $$t = \pi$$?
A
$$\langle -\pi^2, \displaystyle\frac{1}{(\pi+1)^2} \rangle$$
B
$$\langle -\pi^2, -\displaystyle\frac{1}{(\pi+1)^2} \rangle$$
C
$$\langle 2\pi, -\displaystyle\frac{1}{(\pi+1)^2} \rangle$$
D
$$\langle \pi^2, -\displaystyle\frac{1}{(\pi+1)^2} \rangle$$
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