Identify the forces acting on the object: weight downward and drag upward
Set the net force to zero at terminal velocity
Write the balance equation: weight = drag
Use the weight formula: (W = mg)
Use the drag formula appropriate to the situation
For linear drag: (mg = kv)
For quadratic drag: (mg = tfrac{1}{2} rho C_d A v^2)
Solve the equation for (v)
For linear drag: (v_t = tfrac{mg}{k})
For quadratic drag: (v_t = sqrt{tfrac{2mg}{rho C_d A}})
Substitute the known values
Check that the units are consistent
Report the terminal velocity in m/s