A particle performs harmonic oscillations along the \( x \) axis about the equilibrium position ...

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A particle performs harmonic oscillations along the \( x \) axis about the equilibrium position \( x=0 \). The oscillation frequency is \( \omega=4.00 \mathrm{~s}^{-1} \). At a certain moment of time the particle has a coordinate \( x_{0}=25.0 \mathrm{~cm} \) and its velocity is equal to \( v_{x_{0}}=100 \mathrm{~cm} / \mathrm{s} \). Find the coordinate \( x \) and the velocity \( v_{x} \) of the particle \( t=2.40 \mathrm{~s} \) after that moment.
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