MGProjectileMotionKane.html  (MotionGenesis input/output).
```   (1) % MotionGenesis file:  MGProjectileMotionKane.txt
(3) %---------------------------------------------------
(4) NewtonianFrame  N            % Earth (baseball park).
(5) Particle        Q            % Baseball.
(6) %---------------------------------------------------
(7) Variable   x'',  y''         % Ball's horizontal and vertical measures.
(8) Constant   g = 9.8 m/s^2     % Earth's gravitational acceleration.
(9) Constant   b = 0.05 N*s/m    % Coefficient for air-resistance.
(10) Q.SetMass( m = 145 grams )
(11) SetGeneralizedSpeed( x', y' )
(12) %---------------------------------------------------
(13) %      Translational kinematics (position, velocity, acceleration).
(14) Q.Translate( No,  x*Nx> + y*Ny> )
-> (15) p_No_Q> = x*Nx> + y*Ny>
-> (16) v_Q_N> = x'*Nx> + y'*Ny>
-> (17) a_Q_N> = x''*Nx> + y''*Ny>

(18) %---------------------------------------------------
(19) %      Add relevant forces (aerodynamic and gravity).
(20) Q.AddForce(  -m * g * Ny>  )
-> (21) Force_Q> = -m*g*Ny>

(22) Q.AddForce(  -b * Q.GetVelocity(N)  )
-> (23) Force_Q> = -b*x'*Nx> + (-m*g-b*y')*Ny>

(24) %---------------------------------------------------
(25) %      Form dynamics equations with Kane's method.
(26) DynamicEqns = System.GetDynamicsKane()
-> (27) DynamicEqns = [b*x' + m*x'';  m*g + b*y' + m*y'']

(28) %---------------------------------------------------
(29) %      Solve dynamics equations for x'', y''.
(30) Solve( DynamicEqns = 0,   x'',  y''  )
-> (31) x'' = -b*x'/m
-> (32) y'' = -g - b*y'/m

(33) %--------------------------------------------------------------------
(34) %      Input integration parameters and initial values.
(35) Input  tFinal = 3.8 sec,  tStep = 0.1 sec,  absError = 1.0E-7
(36) Input  x = 0 m,  x' = 44.7 * cosDegrees(30) m/s
(37) Input  y = 0 m,  y' = 44.7 * sinDegrees(30) m/s
(38) %--------------------------------------------------------------------
(39) %       List output quantities and solve ODEs.
(40) OutputPlot  x m,  y m
(41) ODE()  MGProjectileMotionKane

(42) %---------------------------------------------------
```