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 \(v_i=10~\mbox{m/s}\). The ball experiences a drag force of \(F=\beta v\) where \(v\) is the velocity of the ball and \(\beta\) is the drag coefficient, \(\beta=0.1~\mbox{kg/s}\). What is the maximum height **in meters** the ball reaches?

**Details and assumptions**

- The acceleration of gravity is \(-9.8~\mbox{m/s}^2\).
- The mass of the ball is \(0.1~\mbox{kg}\).

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