Differential Equations Quiz
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Water is draining from a cylindrical tank. According to Torricelli's law, the height hh (in meters) of the water at time tt (in minutes) is given by the solution: h(t)=(16−0.2t)2=(4−0.2t)2h(t) = (\sqrt{16} - 0.2t)^2 = (4 - 0.2t)^2 for the time interval 0≤t≤200 \le t \le 20.
The instantaneous volume outflow rate is known to be proportional to the square root of the water height, h\sqrt{h}. At what time is the outflow rate exactly 50% of its initial value?
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