Given the two equations:
x'' = -B*x'*[(x')^2+(y')^2]^.5
y'' = -B*y'*[(x')^2+(y')^2]^.5 - g
Where B=.107 and g=9.8 and the boundary conditions are:
y'(0)= 0, y(0)=0, x'(0)=44.4, x(0)=0
All derivatives are with respect to time (t).
Solve for x', y', x, y as functions of t.
Use any numerical integration method, but please show all work in detail.