A baseball is hit when it is 3 feet above the ground. It leaves the bat with initial 152ft speed of making an angle of 20 with the horizontal. At the instant the ball is sec hit, an instantaneous gust of wind blows in the horizontal direction directly opposite the direction the ball is taking toward the outfield. Assume a drag coefficient of 0.08 and the instantaneous gust of wind adds a component of -17.6 (ft/sec) to the initial velocity at the instant the baseball is hit. a) Find a vector equation for the path of the baseball b) How high does the baseball go, and when does it reach a maximum height? c) Find the range and flight time of the baseball. d) When is the baseball 35 ft high? How fas (ground distance) is the baseball from home plate at that height?