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A baseball is hit when it is 3 ft above the ground. It leaves the bat with initial speed of 144 ft / sec, making an angle of 12" with the horizontal. Assume there is linear drag with a drag coefficient k = 0.34. The acceleration due to gravity is g = 32 ft/sec. Answer the following questions. Vo a. Find a vector form for the path of the baseball using the equations for linear drag, x = - K(1 - e -ki] cos a and Vo y = yo + K ( 1 - e - kt ) ( sin a) + (1 -kt - e - kt ) A vector form for the path of the baseball is r(t) = (Simplify your answers. Use integers or decimals for any numbers in the expression. Round to the nearest hundredth.)Determine the maximum curvature for the graph of f(x) = 5 In (5x). The maximum curvature is at x =A vector form for the path of the baseball is r(t) =i+j. (Simplify your answers. Use integers or decimals for any numbers in the expression. Round to the nearest hundredth.) b. How high does the baseball go, and when does it reach its maximum height? The baseball reaches its maximum height of feet after seconds. (Round to the nearest hundredth as needed.) c. Find the range and flight time of the baseball. The range is feet, and the flight time is seconds. (Round to the nearest hundredth as needed.)(Type ordered pairs. Type exact answers. using I as needed. Use angle measures greater than or equal to El and less than 21:. Use a comma to separate answers as needed.) [EH1- The graph is an ellipse. The polar coordinates for the vertices are D. The polar coordinates for the center are D. [:3 B. The graph is a parabola. The polar coordinates for the vertex are Match the equation with the graph. Include the directrix that corresponds to the focus at the origin. Label the vertices with appropriate polar coordinates. If the equation is an ellipse, label the center as well. 15 r= 6 -3 cos 0 Choose the correct graph below. O A. OB. O C. O D. Ay 10- Ay Ay X X -10 X -10 -10 -10 10- 4