Answer
The maximum velocity is $0.157~m/s$
The maximum acceleration is $24.7~m/s^2$
Work Step by Step
We can find the maximum velocity:
$v_m = A~\omega$
$v_m = A~(2\pi~f)$
$v_m = (1.00\times 10^{-3}~m)~(2\pi)~(25.0~Hz)$
$v_m = 0.157~m/s$
We can find the maximum acceleration:
$a_m = A~\omega^2$
$a_m = A~(2\pi~f)^2$
$a_m = (1.00\times 10^{-3}~m)~(2\pi)^2~(25.0~Hz)^2$
$a_m = 24.7~m/s^2$
The maximum velocity is $0.157~m/s$
The maximum acceleration is $24.7~m/s^2$
