A baseball is hit when it is 3 it above the ground. It leaves the bat with initial velocity of 184 ft / sec at a launch angle of 18". At the instant the ball is hit, an instantaneous gust of wind blows against the ball, adding a component of - 14i (ft/sec) to the ball's initial velocity. A 8-ft-high fence lies 379 ft from home plate in the direction of the flight. The acceleration due to gravity is g =32 ft / sec. Complete parts (a) through (e). a. Find a vector equation for the path of the baseball. r(1)=ji+0) (Use integers or decimals for any numbers in the expression. Round to two decimal places as needed.) 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 two decimal places as needed.) c. Find the range and flight time of the baseball, assuming the ball is not caught. The range is |feet, and the flight time is seconds. (Round to two decimal places as needed.) d. When is the baseball 18 ft high? How far (ground distance) is the baseball from home plate at that height? The baseball is 18 ft high after seconds and seconds. Round to two decimal places as needed. Use ascending order.) The baseball is feet or | feet from home plate when it is 18 ft high. (Round to two decimal places as needed. Use ascending order.) e. Has the batter hit a home run? Explain. O A. No because the ball does not reach the wall. O B. No because the ball hits the wall. O C. Yes because the ball goes over the wall