Abaseball is hit when it is 3 ft above the ground. it leaves the bat with initial speed of 154 ft/sec, making an angle of 18 degrees with the horizontal. assume there is linear drag with a drag coefficient k = 0.31. the acceleration due to gravity is g = 32 ft/sec^2. answer the following questions.(a) find a vector form for the path of the baseball using the equations for linear drag, x = (v0/k)(1-e^(-kt) cosα and y=y0 + (v0/k) (1-e^-kt)(sinα) + (g/k^2)(1-kt-e^(-kt)(b) how high does the baseball go, and when does it reach its maximum height? (c) find the range and flight time of the baseball.(d) when is the baseball 10 ft high? how far (ground distance) is the baseball from home plate at that height? (e) a 9-ft high outfield fence is 363 ft from home plate in the direction of the flight of the baseball. the outfielder can jump and catch any ball up to 10 ft off the ground to stop it from going over the fence. has the batter hit a home run?