Vertical Trajectory  Objects moving at high speeds through air
encounter air drag proportional to the square of the velocity.
Describing the motion of objects under this quadratic drag
usually requires numerical techniques rather than straight
analytic formuli since the drag force and the gravitational
force are not acting along the same line. The case of the
vertical trajectory can be treated analytically since the forces
are colinear. It is common practice to express the velocity and
time in terms of the terminal velocity vt and a characteristic
time τ.  Two common approaches to the quadratic drag force are:
1. Express the drag in terms of a single drag coefficient c: 2.
Assume that drag is proportional to cross-sectional area and
express in terms of area and a shape-dependent drag coefficient
C:  Fluid friction Go Back  Vertical Trajectory Calculation  For
a sphere of radius r = cm and density ρ = kg/m3 = gm/cm3  the
mass is m = gm.  Assume the object has a drag coefficient C =
(the default value is C = 0