Consider the equation that models the velocity of a roller coaster as it moves down a hill, where VV represents the velocity of the roller coaster in feet per second, V, start subscript, 0, end subscriptV 0 ​ represents the initial velocity in feet per second, and hh is the vertical drop in feet. V, equals, square root of, left bracket, V, start subscript, 0, end subscript, right bracket, squared, plus, 64, h, end square rootV= (V 0 ​ ) 2 64h ​ Find the vertical drop, in feet, when the initial velocity is 8 feet per second and the velocity of the roller coaster is 96 feet per second.

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