It is possible to show, under certain assumptions, that the velocity of a falling raindrop at time is , where is the acceleration due to gravity and is the terminal velocity of the raindrop.
Suppose and . (a) Find . (b) How long does it take for the velocity of the raindrop to reach 99% of its terminal velocity? Round your answer to the nearest hundredth.
(a) m/s (b) s
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