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I am looking to determine the height of a vertical jump from some limited information via an accelerometer.

The accelerometer is attached near the center of mass of the subject. The subject then jumps as high as possible and the accelerometer produces the average velocity of the jump.

The average velocity is the average of the entire vertical movement of the center of mass. So from the beginning of the upward movement (feet still on the floor) to the peak height of the jump. To give you an idea of the type of velocities we are working with, it is typically around 1.50 meters per second.

I am looking to determine the height of the jump (or at least an accurate approximation) from this information. Is this possible?

My biomechanics and physics classes were so long ago that I can't seem to figure this out. Any help is greatly appreciated.