Abaseball is hit when it is 2.5 ft above the ground. it leaves the bat with an initial velocity of 140 ft/sec at a launch angle of 30°. 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 15 ft high fence lies 400 ft from the home plate in the direction of the flight. (note that gravity, g = 32 ft/sec ) (a) include an appropriate sketch. (b) find a vector equation for the path of the baseball. (70 13 - 145€ 1 1-1727706+2.5 (c) how high does the baseball go, and when does it reach maximum height? +- 70 ha 14.06 (d) find the range and flight time of the baseball, assuming that the ball is not caught. 472.948+ (e) when is the baseball 20 ft high? how far (ground distance) is the baseball from home plate at that height? (f) has the batter hit a home run? explain.