I've been taught about the normal linear motion equations now i've been set this task

- Identify the phenomenon that causes objects to hit the ground at different times [Completed]
- Determine the value of engineering coefficients
- If possible attempt to develop a mathematical model that takes both gravity and this phenomenon into account to accurately predict the fall time for different spherical objects.

Other information
Acceleration: 9.81ms^-2

Fall height of object(s): 6M

Shape of object(s): Sphere

What I've done
For part 1: I deduced the phenomenon is air resistance/drag.

For part 2: Researched about drag and found out that

$\displaystyle \mathbf{F}_d= -{1 \over 2} \rho v^2 A C_d \mathbf{\hat v}$

Where F_d: Force of drag, p=density of fluid(1.1877 @298K/25C),

v=speed of object a=reference areaπ(pi

*D*2/4 for a sphere),

C_d=drag coefficient(whats this for sphere?),

v^=is the

unit vector indicating the direction of the velocity (the negative sign indicating the drag is opposite to that of velocity).

For part 3

Not sure for this but was thinking of using v=u+at rearranging for time, draw force diagram calculate the modulus of the force then put in values