APFIVE Particle Motion Initial Value Problem
A particle moves along the $$x$$-axis. For time $$t \geq 0$$, its acceleration is given by $$a(t) = 3\cos t - 2$$. The particle’s initial velocity is $$v(0) = 4$$, and its initial position is $$x(0) = -2$$. The position of the particle at time $$t$$ is given by $$x(t) =$$
A
$$-3\cos t - t^2 + 4t + 1$$
B
$$-3\cos t - t^2 + 4t + 3$$
C
$$3\sin t - 2t^2 + 4t - 2$$
D
$$-3\cos t - t^2 + 4t - 2$$
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