How fast must a human throw a baseball in order to break the sound barrier? I know a jet breaks the sound barrier at approximately 750 mph but would it be the same for a human?
I'm not sure it would still be a shock wave after traveling 2000 feet. Shock waves turn into sound waves (sonic booms) over time and distance. A shock wave sounds like a loud crack, while a sonic boom sounds much deeper. In the second part of this video, you'll hear a shock wave as a super sonic F14 does a close flyby:If you were on the ground and an airplane flew over you at 2000ft at Mach1, would the shock wave sound the same as you would hear from an airplane flying over you at 2000ft travelling at Mach2 or Mach3, Mach5 even?
Yes, because at constant acceleration v²=2ad=2Fd/m, you need to quadruple the force to double the final velocity. Even worse, since you want to "pitch" the ball past the sound barrier, you have to deal with significant drag. In fact, the drag is highest right before you break the sound barrier, and the baseball is the wrong kind of shape for going against wave drag that is typical for transonic speeds.
I don't think you'll break the baseball, but you will need a cannon of some sort to fire it at these speeds.