A rock with mass m = 4.00 kg falls from rest in a viscous medium. The rock is acted on by a net constant downward force of F = 17.4 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 = 2.16 N*s/m.
a. Find the initial acceleration a0.
b. Find the acceleration when the speed is 3.00 m/s.
c. Find the speed when the acceleration equals 0.1 a0.
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 of 0.9 Vt.