Player Ball
Can a major league baseball player throwing a ball into the air from one end of my lane to another?
If please help me settle a bet office. The corridor outside my office is 133.5 meters long, and the ceiling is 8 feet high. Is a Player Major League Baseball (in particular, Ivan Rodriguez, Detroit Tigers catcher) throw a ball and hit the wall at the other end of the corridor, without bouncing on the ground first? I say yes, and have a good bottle of Irish whiskey on her horse. Any help you can provide me with proof of right (I hope) would be much appreciated.
It would need to throw at least 129 km / h to do so. Here is my calculation: Suppose that throws it over to loose ball near the ceiling of 8 feet above the ground. Assuming that casts parallel to the ground, the ball begins to 8 feet high and begins to accelerate at 32 feet per second squared, when he releases it. Using the formula X = ^ 1/2AT 2, I calculate it takes .707 seconds to hit the ground so it has to travel 133.5 feet horizontally within 0.707 seconds to hit the back wall before hitting the ground. 133.5 feet of 0.707 seconds is 189 feet by seconds or 129 MPH. But wait, there's more! If he throws underhanded, releasing the ball close to the ground, and if he throws lightly to the corner then the ball almost touches the ceiling halfway down the corridor, then it takes twice as long to reach the ground. It takes 0.707 seconds to get up to 8 feet and a another 0.707 seconds back in the fall to the floor. So just take twice as fast to hit the wall, but only 64 / 12 MPH. The question becomes So, can he throw 129 km / h in 2.1 sneaky pronation or 64 MPH?