Question: This is from a Numerical Analysis II class. kindly answer (c). We are to use Maple software. Kindly send me the codes. 3. We consider
This is from a Numerical Analysis II class. kindly answer (c). We are to use Maple software. Kindly send me the codes.

3. We consider a motion of a projectile with air resistance. Let x be a horizontal coordinates, z a vertical coordinate, the equation of motion is mx=k(x)2+(y)2xmz=k(x)2+(y)2zmg where the projectile's mass m=0.2, gravity acceleration g=9.81 the drag coefficient k is determined by the formula k=21cr2 with c=0.47,=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)=2502,z(0)=2502 (c) Use this solution to plot trajectory of projectile (curve (x(t),z(t) ), flight time T (such that the projectile hits the ground z(T) ) and the range x(T)
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