What is the equation thast describes how air resistance affects terminal velocity?

Answer 1

down and up forces balance at terminal velocity

mass * g = v^2 * drag coefficient

if mass and terminal velocity are known , drag coefficient can be found

say mass = 100 kg, g = 9.8 (m/s)/s, terminal velocity = 70 m/s

so at terminal velocity:

100*9.8=4900* drag coefficient

then:

100*9.8/4900 = 0.2 (drag coefficient)

if you reduce the drag coefficient, the terminal velocity will increase, until the forces balance

Answer 2

The equation that describes how air resistance affects terminal velocity is given by:

mg - kv = 0

where m is the mass of the object, g is the acceleration due to gravity, k is the air resistance coefficient, v is the velocity of the object, and Terminal velocity is the point at which the drag force (kv) equals the gravitational force (mg), causing the net force to be zero.