Question: Write a MATLAB script to visualize the trajectory of a projectile launched from a hill. Consider a projectile launched with an initial velocity V _

Write a MATLAB script to visualize the trajectory of a projectile launched from a hill. Consider a projectile launched with an initial velocity V $_0$ ? at an angle $\$ theta to the horizontal from a hill of height H $.$ ?Neglecting air resistance, the equations of motion are given by:

x $($ t $) =$ IN $_0$ ?cos $(\$ theta $)$ t

and $($ t $) =$ H $+$ IN $_0$ ?sin $(\$ theta $)$ t $? 1 / 2$ gt $^2$

With $($ t $) = 0$

Write a MATLAB script to generate a $3$ D plot of the projectile trajectory for t in the range $[0, 2 ($ IN $_0$ sin $(\$ theta $)) /$ g $],$ ?assuming V $0 = 25$ ?m $/$ s $, \$ theta $= \$ pi $/ 4 (45$ ?degrees $),$ ?g $= 9.8$ ?m $/$ s $^2,$ ?and H $= 10$ ?meters. Include labels for the axes and a title for the plot.

Z-axis (m) 0.5 -0.5 3D Projectile Trajectory from a Hill 30 25 20 Y-axis (m) 15 10 50 40 30 10 10 20 X-axis (m) 20 70

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