A sphere is dropped from rest at s = 0 in a thick

A sphere is dropped from rest at s = 0 in a thick polymer fluid (say, shampoo). A typical model for the motion of a sphere in such a fluid tells us that the acceleration of the sphere has the form a = g – eta upsilon, where g is the acceleration due to gravity, upsilon is the velocity, and eta is a constant coefficient with dimensions of one over time. If eta = 30s^-1, determine the time it takes for the velocity of the sphere to become equal to 1 ft/s. Also, determine the corresponding position of the sphere.Show transcribed image text