Speed of a pitcher

Classical Mechanics Level 2

You want to figure out how fast you can throw a ball, but don't have access to a radar gun. You measure the height from the ground to your hand as you throw and discover that when you throw a ball it leaves your hand at a height of 2 meters from the ground. You then throw a ball horizontally and discover that it hits the ground 20 meters from where you're standing. How fast in m/s did you throw the ball?

Details and assumptions

  • The acceleration of gravity is \(-9.8~\mbox{m/s}^2\).
  • Neglect air resistance.

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