Particle Position from Velocity
The velocity of a particle moving along the $$x$$-axis is given by $$v(t) = 3\sin(2t) + 1$$. At time $$t=0$$, the position of the particle is $$x=2$$. What is the position of the particle at time $$t = \displaystyle\frac{\pi}{2}$$?
A
$$5 + \displaystyle\frac{\pi}{2}$$
B
$$6 + \displaystyle\frac{\pi}{2}$$
C
$$4 + \displaystyle\frac{\pi}{2}$$
D
$$3 + \displaystyle\frac{\pi}{2}$$
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