Develop a MATLAB script to generate a plot of the optimal velocity of the jet from Prob. 7.42 versus elevation above sea level. Employ a mass of 68,300 kg for the jet. Note that the gravitational acceleration at 45° latitude can be computed as a function of elevation with
where g(h) = gravitational acceleration (m∕s2) at elevation h (m) above sea level, and re = Earth’s mean radius (= 6.371 × 106 m). In addition, air density as a function of elevation can be calculated with
Employ the other parameters from Prob. 7.42 and design the plot for elevations ranging from h = 0 to 12 km above sea level.
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