Differential Equations Quiz
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APPLICATIONS OF FIRST-ORDER ODES
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A ball is dropped from rest in a medium where air resistance is proportional to velocity. The equation of motion is dvdt=g−kv\frac{dv}{dt} = g - kv, where g=10 m/s2g = 10 \text{ m/s}^2 and k=0.5 s−1k = 0.5 \text{ s}^{-1}. If the ball reaches 95% of its terminal velocity after time tt, what is the approximate value of tt?
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