The one-dimensional displacement of a particle is [ x(t)=0.5 e^{-0.2 t} sin (5 t+0.24) mathrm{m} ] (a)

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The one-dimensional displacement of a particle is

\[ x(t)=0.5 e^{-0.2 t} \sin (5 t+0.24) \mathrm{m} \]

(a) What is the maximum displacement of the particle?

(b) What is the maximum velocity of the particle?

(c) What is the maximum acceleration of the particle?

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