During a professional game, a radar gun captured a baseball leaving the bat at 105 mph. A standard baseball has a diameter of 7.32 cm and a weight of 150 g, and the effective drag coefficient for a baseball around 100 mph has been found experimentally to be CD = 0.31. The game was played inside a dome at a city near sea level, so that the conditions inside the stadium could be taken as standard atmospheric conditions with no wind. Perform the following calculations: (a) To the nearest 1°, compute the initial launch angle of the ball from the bat that gives the farthest horizontal distance traveled for the ball, (b) For the initial velocity and trajectory above, how much farther would the ball have traveled if it were hit at Mile High Stadium in Denver (assume a standard atmosphere)?
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