Think Fast

Classical Mechanics Level 2

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 \(30~\mbox{m/s}\) 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 \(-9.8~\mbox{m/s}^2\).
  • Treat me as a point mass.

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