Projectile motion: Finding flight distance with air resistance

[proctortom]

Homework Statement

A ball of mass 0.9kg is shot from a slingshot at an angle of 60° from the ground. The slingshot is sitting 1m above the ground. The elasticity of the slingshot is k = 700N/m. Take gravity = 10m/s^2

Air resistance must be taken into account also. Use the formula D = ( C*P*(U^2)*A )/2
D = Drag
C = 1
P = 1.2
U = 13.94
A = 0.03142

How far (in the x direction) has the ball traveled when it hits the ground??

Homework Equations

F = ma
E = 0.5mv^2
d = vt
d = vt + 0.5at^2
D = ( C*P*(U^2)*A )/2 (D = Drag)

The Attempt at a Solution

The following calculations have already been found:

Initial force in Ball = 350N
Initial Energy in Ball = 87.5J

Time of flight without air resistance = 5.5sec
X-distance traveled without air resistance = 17.4m

Drag = 3.66 kg/s

I don't know how to apply the air resistance (drag) formula/calculation to what I have found.

 

[member 553083]

I know the distance traveled with air resistance is lower than 17.4m but I don't know how to calculate it.