Daniel B. answered • 05/17/21

A retired computer professional to teach math, physics

In general, a point undergoing harmonic motion has displacement:

s(t) = A×sin(2πft), where

A is the amplitude,

f is frequency,

t is time.

Its velocity is the derivative of displacement:

v(t) = 2πfA×cos(2πft)

Its acceleration is the derivative of velocity:

a(t) = -4π²f²A×sin(2πft)

Since sin and cos range between -1 and 1, the maximum velocity and acceleration are:

v_{max} = 2πfA = 2π×60s^{-1}×0.3m = 113.1 m/s

a_{max} = 4π²f²A = 4π²×3600s^{-2}×0.3m = 42636.7 m/s²