Problem

When a particle falls through the air, its initial acceleration a = g diminishes until it...

When a particle falls through the air, its initial acceleration a = g diminishes until it is zero, and thereafter it falls at a constant or terminal velocity vf. If this variation of the acceleration can be expressed as a = (g / v2f)(v2f  - v2), determine the time needed for the velocity to become v = vf/2. Initially the particle falls from rest.

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