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Velocity is related to displacement in the sense that it is its derivative (the slope of a displacement vs. time graph's
tangent line at a particular time).

** Overlooking rather tedius and unimportant derivations **

v(t) = -Aωcos(ωt)

Where: v(t) = the velocity at time, t (s)

A = the maximum displacement (m)

ω = angular acceleration = 2πf = 2π/T (rad/s)