A rock with mass m = 3.00 kg falls from rest in a viscous medium. The rock is acted on by a net constant downward force of 18.0 N (a combination of gravity and the buoyant force exerted by the medium) and by a fluid resistance force f = kv, where v is the speed in m/s and k = 2.20 N s/m (see Section 5.3).
(a) Find the initial acceleration 0.
(b) Find the acceleration when the speed is 3.00 m/s.
(c) Find the speed when the acceleration equals 0.1"0.
(d) Find the terminal speed vt.
(e) Find the coordinate, speed, and acceleration 2.00 s after the start of the motion.
(f) Find the time required to reach a speed 0.9ut