Question

Question

In Chapter 9 we will be able to show, under certain assumptions, that the velocity v(t)of a falling raindrop at time t is
v(t) = v*(1 – e –gt/v*)
where g is the acceleration due to gravity and v* is the terminal velocity of the raindrop.
(a) Find limt?8v(t).

(b) Graph v(t) if v* = 1 m/sand g = 9.8 m/s2. How long does it take for the velocity of the raindrop to reach 99% of its terminal velocity?

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