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An object falling through a fluid is observed to have acceleration given by a = g - bv where g = gravitational acceleration and b is constant. After a long time of release, it is observed to fall with constant speed. The value of constant speed is

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a

$\frac{g}{b}$

b

$\frac{b}{g}$

c

bg

d

b

answer is A.

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Detailed Solution

v = constant ⇒ a = 0
a = g – bv = 0 ⇒ v = g/b

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An object falling through a fluid is observed to have acceleration given by a = g - bv where g = gravitational acceleration and b is constant. After a long time of release, it is observed to fall with constant speed. The value of constant speed is