3. We consider a motion of a projectile with air resistance. Let z be a horizontal coordinates z a vertical coordinate, the equation of motion is =-k(x) + (y') z mz" -k(x) + (y) ' - mg = where the projectile's mass m = = 0.2, gravity acceleration g = 9.81 the drag coefficient k is determined by the formula k = with c= 0.47, p = 1.28, r = 0.05. (a) Rewrite this system of equations as first-order system (b) Use Maple and a vector Runge-Kutta procedure rkv to find numerical solution of the first-order system of differential equations with initial conditions x (0) = 0, z(0) =0, x'(0) = 50/2 2 :'(0) = 502 2 3. We consider a motion of a projectile with air resistance. Let a be a horizontal coordinates, z a vertical coordinate, the equation of motion is =-k(x) + (y') z mz" = -k(x) + (y) ' - mg where the projectile's mass m = = 0.2, gravity acceleration g = 9.81 the drag coefficient k is determined by the formula k = with c = 0.47, p = 1.28, r = 0.05. (a) Rewrite this system of equations as first-order system (b) Use Maple and a vector Runge-Kutta procedure rkv to find numerical solution of the first-order system of differential equations with initial conditions x(0) = 0, z(0)=0, x'(0) = 50/2 2 :'(0) = 502 2