APFIVE Velocity Vector for Parametric Equations
The position of a particle moving in a plane is given by the parametric equations $$x(t) = \sin(2t)$$ and $$y(t) = t^2 + 1$$. What is the velocity vector of the particle at time $$t = \displaystyle\frac{\pi}{4}$$?
A
$$\langle 0, \displaystyle\frac{\pi}{2} \rangle$$
B
$$\langle 2, \displaystyle\frac{\pi}{2} \rangle$$
C
$$\langle 1, \displaystyle\frac{\pi}{2} \rangle$$
D
$$\langle 0, \pi \rangle$$
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