A small sphere of mass

m = 0.520 kg
is dropped from rest into a viscous liquid in which the resistive force on the sphere can be expressed as
FD = −bv,
and reaches one-fourth of its terminal speed in
3.14 s.
(a) What is the terminal speed of the sphere?

m/s

(b) What is the distance traveled by the sphere in
3.14 s?

1 answer

I would never be able to type the math here. So print this example out, and work thru it. It is welldone.
https://www.physics.purdue.edu/webapps/index.php/course_document/.../6046