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 $v_i=10~\mbox{m/s}$. 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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