A baseball is hit when it is 3 ft above the ground. It leaves the bat with initial velocity of 180 ft/sec at a launch angle of 10. 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 10-ft-high fence lies 360ft from home plate in the direction of the flight. The acceleration due to gravity is g=32 ft/sec2. Complete parts (a) through (e).

a. Find a vector equation for the path of the baseball.

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, assuming the ball is not caught.

d. When is the baseball 9 ft high? How far (ground distance) is the baseball from home plate at that height?

e. Has the batter hit a home run? Explain.

- yes because it went over the wall

- no because the ball hits the wall

- no because the ball does not reach the wall