Please use Mathematica or Matlab to solve, Coding is needed Zhukovskii\'s model

Question

Please use Mathematica or Matlab to solve, Coding is needed

Zhukovskii's model of a glider. Imagine a glider operating in a vertical plane. Let v be the glider's speed, theta be the angle it makes to the horizontal. The dimensionless equations of motion are: v = - sintheta - Dv^2, vtheta = - cos theta - v^2, where the trigonometric terms represent the effects of gravity and the v^2 terms represent the effects of drag and lift. Suppose that there is no drag so that D = 0. Using numerical integration, sketch the trajectories on a slice of the v - theta phase plane between - pi 0), what does the flight path of the glider look like?

Explanation / Answer

type following mat lab code

>> theta=-pi:1:pi % to initialize the theta value in between -pi to +pi

>>v=0:0.1:1 % to initilaize the v value between 0 to 1 between gap of 0.1

>> d=0:01.1 % to initialize the value between 0 to 1 gap 0.1

>> y=-sin(theta)-(d)*(v^2)

>> z=-cos(theta)-v^2

observe the result on matlab

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