Is physics a drag?

We often ignore drag in elementary physics problems because it complicates matters. Sometimes, drag is pretty easy to deal with, however. Consider the one dimensional problem of a ball being thrown straight upwards at an initial speed of vi=10 m/sv_i=10~\mbox{m/s}. The ball experiences a drag force of F=βvF=\beta v where vv is the velocity of the ball and β\beta is the drag coefficient, β=0.1 kg/s\beta=0.1~\mbox{kg/s}. What is the maximum height in meters the ball reaches?

Details and assumptions

  • The acceleration of gravity is 9.8 m/s2-9.8~\mbox{m/s}^2.
  • The mass of the ball is 0.1 kg0.1~\mbox{kg}.
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