Physics: height of a thrown baseball. A baseball is thrown directly upward with an

Chapter 4, Problem 71

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Physics: height of a thrown baseball. A baseball is thrown directly upward with an initial velocity of 75 ft/sec from an initial height of 30 ft. The velocity of the baseball is given by the function where is the number of seconds since the ball was released and is in feet per second. a) Find the function that gives the height (in feet) of the baseball after seconds, using the fact that at , the ball is 30 ft above the ground. b) What are the height and the velocity of the baseball after 2 sec of flight? c) After how many seconds does the ball reach its highest point? (Hint: The ball stops for a moment before starting its downward fall.) d) How high does the ball get at its highest point? e) After how many seconds will the ball hit the ground? f) What is the balls velocity at the moment it hits the ground?

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