Derivative as velocity and acceleration.  A ball is thrown vertically from a point 30 feet above the ground. a) At what velocity must it be thrown for it to strike the ground in 2 seconds? Is the ball initially thrown vertically upwards or downward? b) What is its velocity when it strikes the ground? c) Where is the ball one second after it was thron initially? Is it moving upwards or already on its way down? (Hint: take the time and displacement at the maximum point of its flight by setting v=0)

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