The displacement
y(t)=A cos〖(ωt)=20 cos〖(ωt) cm〗 〗
The acceleration
a(t)=y^'' (t)=-Aω^2 cos(ωt)=-ω^2 y(t)
So
ω=2 rad/s
Finally, the max acceleration
a_max=Aω^2=20 cm×(2 rad/s)^2=80 cm/s^2
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