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Uniform Acceleration Drop Problem – Find the Acceleration

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A small drop is released from rest and falls straight downward under uniform acceleration. At time t, its vertical position is measured to be y. Assuming the drop starts at position 0 and air resistance is negligible:

  1. Write the kinematic equation relating position, time, and acceleration for this motion.
  2. Using the fact that the drop starts from rest, derive an expression for the acceleration a in terms of y, and t.
  3. Calculate a, the acceleration.


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