Freefall in Uniform Gravitational Field with Air Resistance (velocity)

Description

Free fall is any motion of a body where its weight is the only force acting upon it. In Uniform gravitational field with air resistance the air resistance is proportional to the square of the fall velocity. Assuming an object falling from rest and no change in air density with altitude, the velocity as a function of time is depended on the terminal velocity (when time tends to infinity )
(Terminal velocity is the highest velocity attainable by an object in free fall. It occurs once the sum of the drag force and buoyancy equals the downward force of gravity acting on the object. Since the net force on the object is zero, the object has zero acceleration,)

Related formulas

Variables

utFalling velocity (m/s)
uinfTerminal speed (m/s)
gStandard gravity
tTime of falling (s)