3. We consider a motion of a projectile with air resistance. Let z be a horizontal...

 

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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√(x¹)² + (y')² z mz" -k√√(x)² + (y)² ' - 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) = 50√2 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√(x²)² + (y')² z mz" = -k√√(x)² + (y)² ' - 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) = 50√2 2 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√(x¹)² + (y')² z mz" -k√√(x)² + (y)² ' - 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) = 50√2 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√(x²)² + (y')² z mz" = -k√√(x)² + (y)² ' - 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) = 50√2 2