Question: (a) Sketch a graph of x (t) = A sin (t (the position of an object in SHM that is at the equilibrium point at

(a) Sketch a graph of x (t) = A sin (t (the position of an object in SHM that is at the equilibrium point at t = 0).
(b) By analyzing the slope of the graph of x (t), sketch a graph of vx(t). Is vx(t) a sine or cosine function?
(c) By analyzing the slope of the graph of vx(t), sketch a x(t).
(d) Verify that vx(t) is 1 / 4 cycle ahead of x(t) and that a x(t) is 1 / 4 cycle ahead of vx(t).

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