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weather_balloon

weather_balloon - measurements that can be approximated...

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In Class Problem: Weather Balloons Weather balloons are used to gather temperature and pressure data at various altitudes in the atmosphere. 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 thus the balloon’s ascent slows until it reaches a point of equilibrium. During the day, sunlight warms the helium trapped inside the balloon, which causes the helium to expand and become less dense and the balloon to rise higher. During the night, however, the helium in the balloon cools and becomes denser, causing the balloon to descend to a lower altitude. The next day, the sun heats the helium again and the balloon rises. Over time, this process generates a set of altitude
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Unformatted text preview: measurements that can be approximated with a polynomial equation. Assume that the following polynomial represents the altitude or height in meters during the first 48 hours following the launch of a weather balloon: 220 4100 380 12 12 . ) ( 2 3 4 + + − + − = t t t t t A where the units of t are hours. The corresponding polynomial model for the velocity in meters per hour of the weather balloon is as follows: 4100 760 36 48 . ) ( 2 3 + − + − = t t t t V Print a table of the altitude and the velocity for this weather balloon using units of meters and meters/second. Let the user enter the start time, increment the time between lines of the table, and ending time, where all time values must be less than 48 hours. In addition, print the peak altitude and its corresponding time....
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