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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.

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. What must be the value of constant speed?

Answers (1)

The velocity becomes constant after a long time from when it is released, thus,

\frac{dv(t)}{dt} = 0\; \; or\; \; a=0

a = g - bv \: \: \: \: \: \: ........(given)

Thus, 0 = g - bv

bv = g

v=\frac{g}{b}

Thus, (\frac{g}{b}) is the constant speed after a long time of release.

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