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A ball is projected upward from the top of a 90 foot building ata velocity of 64 feet per second. The ball's height above theground below the building is described by the function h(t)=-16t^2+ 64t + 90 , with t being the time in seconds after the ball isprojected upward. a.) Determine the amount of the verticalintercept, and interpret what this means in the context of theproblem (in terms of seconds and feet above the ground). b.)Determine the amount of all horizontal intercepts (if any) , andinterpret what they mean in teh context of the problem (in terms ofseconds and feet above the ground). c. Write the coordinates of thevertex. Interpret what these numbers mean in the context of theproblem. d. If nothing stops the ball before, then how much timeelapses until the ball hits the ground below the building?