If the displacement of a machine is described as (x(t)=0.4 sin 4 t+5.0 cos 4 t), where

Question:

If the displacement of a machine is described as $x(t)=0.4 \sin 4 t+5.0 \cos 4 t$, where $x$ is in centimetres and $t$ is in seconds, find the expressions for the velocity and acceleration of the machine. Also find the amplitudes of displacement, velocity, and acceleration of the machine.

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