A body executing simple harmonic motion has a maximum acceleration equal to $ 24\,metres/se{c^2} $ and maximum velocity equal to $ 16\;metres/sec $. The amplitude of the simple harmonic motion is
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(a) Maximum velocity $ = a\omega = 16$
Maximum acceleration $ = {\omega ^2}a = 24$
$ \Rightarrow a = \frac{{{{(a\omega )}^2}}}{{{\omega ^2}a}} = \frac{{16 \times 16}}{{24}} = \frac{{32}}{3}m$
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