Answer
$v_m=0.50m/s$
Work Step by Step
To find the maximum velocity of the mass-spring system, remember that the maximum velocity of a mass-spring system is equal to $$v_m=A\omega$$ Substituting calculated values of $A=5.0cm=0.050m$ and $\omega=10.rad/s$ yields a maximum velocity of $$v_m=(0.050m)(10.rad/s)$$ $$v_m=0.50m/s$$