Simple simple harmonics question

"simple" simple harmonics question

in a recent lab experience of simple harmonics, pendulum motion, we find that as the length of the pendulum is deceased the period changes but the real question is about the velocity of the pendulum as the length is decreased. when graphing the length over the period you find that the velocity appears non linear as the length changes linearly. when graphing the length over the period^2 we find the data results are very linear which is expected. i need some concrete evidence to what is happening to the velocity as the length changes linearly. is the velocity changing linearly or is this a quadratic function between the lenght and period (T)??
 

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