Question

an object falling through a fluid is observed to have acceleration given by a = g- bv where g is acceleration due to gravity and b is constant. After a long time of release it is observed to fall with constant speed. What should be the value of constant speed?​

Answer 1

Answer:

Clearly, from above equation as speed increases acceleration will decrease. At a certain speed say v0, acceleration will be zero and speed will remain constant. Hence, a = g- bv0 = 0 ⇒ v0 = g/b.

Answer 2

Answer:

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 release .it is observed to fall with constant speed when a=0 There fore 0=g bvcorvc =g/b