Think Fast

One day I decide I want to see how high I can throw a rock. I throw a rock straight up in the air and it has a speed of 30 m/s30~\mbox{m/s} when it leaves my hand. I then realize this was foolish, as I need to get out of the way before the rock comes back down and hits me on the head. How many seconds do I have to move out of the way after I throw the rock?

Details and assumptions

  • The acceleration of gravity is 9.8 m/s2-9.8~\mbox{m/s}^2.
  • Treat me as a point mass.
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