APFIVE Speed From Parametric Equations
The position of an object moving in the $$xy$$-plane for time $$t > 0$$ is given by the parametric equations $$x(t) = 3t - \sin(t)$$ and $$y(t) = 4 - \cos(t)$$. What is the speed of the object at time $$t = \displaystyle\frac{\pi}{3}$$?
A
$$\displaystyle \sqrt{7}$$
B
$$\displaystyle 3$$
C
$$\displaystyle \sqrt{6}$$
D
$$\displaystyle \sqrt{8}$$
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