# Speed of a pitcher

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.
×