Problem #2: A baseball is launched from home plate at a velocity of 50 m/s, 30" above the horizontal. Neglect any wind or air resistance for this problem, the height of the batter, and assume the acceleration of gravity to be 10 m/s/s, directed downwards, in this region. As a hint, remember vector components! a. Assume there are no obstacles in the baseball's path. Find the time of flight for the baseball, assuming it lands at the same height as it was launched from, and the range of the baseball (following the same assumptions). b. Sketch graphs of the following: horizontal position (range) versus time and vertical position (height) versus time. Do these graphs look the same? Why or why not? Explain. Suppose this baseball was launched toward the left field wall at Fenway Park (known as the Green Monster) it is 150 meters away from home plate along the ball's trajectory, and the top of the fence is 25 meters above the launch point of the baseball: C. Is the ball a home run? If so, by how much distance does the ball clear the wall? If not, where does the ball hit the wall in relation to the launch point height? Clearly show all work and reasoning. d. Suppose the height of the batter was not neglected in this problem. How would your approach to solving the previous parts change? You do not need to re-solve anything just offer a conceptual explanation of your updated approach (if you have one) and how the mathematics would differ. e. Suppose baseball had been developed on a distant hypothetical planet called Tralfamadore, where the acceleration due to gravity was 20 m/s/s directed downwards. How would you answer to part "c\" change in general? An explanation in words is sufficient, although you are welcome to redo your calculations if it helps. You can assume the same information that was used in part "c\