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Problem $11\mathrm{.}003-$ Mass on a spring

The vertical motion of mass $A$ is defined by the relation $x=cos(10t)-0\mathrm{.}1sin(10t),$ where $x$ and $t$ are expressed in mm and seconds, respectively. Consider $t=0\mathrm{.}450s.$

Problem $11\mathrm{.}003.$b $-$ Maximum velocity and acceleration of a mass on a spring

Determine the maximum velocity and acceleration of $A.$

The magnitude of the maximum velocity and acceleration of A are $m\frac{m}{s^2},$ respectively. $m\frac{m}{s},$ and