Answer
$=-0.581sin(1.57t) cm/s$
Work Step by Step
To find $v$, we differentiate $x$ with respect to $t$:
$$v(t)=x'(t)$$ $$v(t)=\frac{d}{dt}(0.37cos(1.57t)) cm/s$$ $$=-0.581sin(1.57t) cm/s$$
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