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# Balloon satellites are used to gather a variety of information from weather data to reconnaissance information The balloon rises because the density of the helium in the balloon is

Balloon satellites are used to gather a variety of information from weather data to reconnaissance information. The balloon rises because the density of the helium in the balloon is less than the density of the surrounding air outside the balloon. As the balloon rises, the surrounding air becomes less dense and this slows the balloon’s ascent until it reaches a point of equilibrium at 16300 feet. During the day, the sunlight warms the helium trapped inside the balloon which causes the balloon to rise higher. During the night, the helium cools causing the balloon to descend to a lower altitude. The next day the sun heats the helium again and the balloon rises once more. This motion of altitude changes can be approximated with a polynomial equation as follows:

alt(t)=-0.12t4+12t3-380t2+4100t+220
where the units of t are in hours. The corresponding velocity is in feet/hour as is shows as follows:

v(t)=-0.48t3+36t2-760t+4100

Calculate the velocity and altitude of the balloon over a 48 hour period. If the balloon falls below 1000 feet display a message indicating that the balloon has fallen below radar. Print a table of the altitude and the velocity for the balloon and display to the Command Window.

Write a matlab code using loops to solve the problem.

May 20 2020 View more View Less