Answer
(a) simple harmonic,
(b) $2\ ft$
(c) $2 \sec$
(d) $\frac{1}{2}\ Hz$
Work Step by Step
Given $d=2sin(\pi t)$
(a) the motion is simple harmonic,
(b) the maximum displacement from its rest position is $2\ ft$
(c) the period is $p=\frac{2\pi}{\pi}=2 \sec$
(d) the frequency is $f=\frac{1}{p}=\frac{1}{2}\ Hz$
