Applications: Mechanics
Formula: m(dv/dt)=-mg-kv.
Examples 1. A mass of 20 g is dropped from
an airplane flying horizontally. Air resistance =kv, and k, the constant
of proportionality is 10g/s. Considering only vertical motion:
-
Find the velocity as a function of time.
-
Find the velocity after 10sec, assuming that the body has not hit the ground.
-
If the gravitational force is assumed constant, what is the limiting velocity?