Question: please do in matlab A projectile is fired with an initial velocity of 250m/s at an angle of =65 relative to the ground. The projectile

please do in matlab  please do in matlab A projectile is fired with an initial
velocity of 250m/s at an angle of =65 relative to the ground.

A projectile is fired with an initial velocity of 250m/s at an angle of =65 relative to the ground. The projectile is aimed directly north. Because of a strong wind blowing to the west, the projectile also moves in this direction at a constant speed of 30m/s. Determine and plot the trajectory of the projectile until it hits the ground. For comparison, plot also (in the same figure) the trajectory that the projectile would have had if there was no wind. Hint: As shown in the figure, the coordinate system is set up such that the x and y axes point in the east and north directions, respectively. Then the motion of the projectile can be analyzed by considering the vertical direetion z and the two horizontal components x and y. Since the projectile is fired directly north, the initial velocity v0 can be resolved into a horizontal y component and a vertical z component: v0y=v0cos()andv0z=v0sin() In addition, due to the wind the projectile has a constant velocity in the negative x direction, vx=30m/s. The initial position of the projectile (x0,y0,z0) is at point (3000,0,0). In the vertical direction the velocity and position of the projectile are given by: vz=v0zgtandz=z0+v0zt21gt2 The time it takes the projectile to reach the highest point (v2=0) is: th,max=gv0z The total flying time is twice this time, ttotal=2thmax. In the horizontal direction the velocity is constant (both in the x and y directions), and the position of the projectile is given by: x=x0+vxtandy=y0+v0yt When there is no wind, only Eq. (4) will be impacted, vx=0, and the equation will be reduced to x=x0. Plot the two graphs into one figure as below

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