where g is the acceleration due to gravity and v* is the terminal velocity of the raindrop. (a) Find lim, v(t). (b) For a large raindrop in moderate rainfall, a typical terminal velocity is 7.5 m/s. How long does it take for the velocity of such a raindrop to reach 99% of its terminal velocity? (Take g = 9.8 m/s².) The velocity v(t) of a falling raindrop at time t is modeled by the equation v(t) = v*(1 – e¯9i/»*)

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where g is the acceleration due to gravity and v* is the
terminal velocity of the raindrop.
(a) Find lim, v(t).
(b) For a large raindrop in moderate rainfall, a typical
terminal velocity is 7.5 m/s. How long does it take
for the velocity of such a raindrop to reach 99% of its
terminal velocity? (Take g = 9.8 m/s².)
The velocity v(t) of a falling raindrop at time t is modeled
by the equation
v(t) = v*(1 – e¯9i/»*)
Transcribed Image Text:where g is the acceleration due to gravity and v* is the terminal velocity of the raindrop. (a) Find lim, v(t). (b) For a large raindrop in moderate rainfall, a typical terminal velocity is 7.5 m/s. How long does it take for the velocity of such a raindrop to reach 99% of its terminal velocity? (Take g = 9.8 m/s².) The velocity v(t) of a falling raindrop at time t is modeled by the equation v(t) = v*(1 – e¯9i/»*)
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