C++

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 inside 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, thus, the balloon will rise higher. During the night, however, the helium in the balloon cools and becomes more dense: thus, the balloon will 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 or altitude measurements that can be approximated with a polynomial equation. Assume that the following polynomial representation represents the altitude or height meters-the first 48 hours following the launch of a weather balloon: h(t) = -0.12t^4 + 12t^3 - 380t^2 + 4100t + 220, where the units of t are in hours. The corresponding polynomial model for the velocity in meters/hr of the weather balloon is: v(t) = -0.48t^3 + 36t^2 - 760t + 4100. Write a program that will print a table of the time, altitude, and the velocity for this weather balloon using units of meters and meters per second. Let the user enter the start time, the increment in time between lines of the table, and the ending time, where all the time values must be less than 48 hours. After your table is printed out, also print the peak altitude and its corresponding time. The format for your output table numbers should be to use 2 values after the decimal point for the time and velocity, but only 1 value after the decimal point for the altitude. To format your table, use the "\t" (tab) character. You must use a while loop to solve the problem correctly, since floating point numbers are being used. As an example, if you execute the program with the following inputs, the output will be rightarrow hw11.o Welcome to the Weather Balloon Altitude and Velocity Program. Enter the Balloon's Starting Time: 1 Enter the Time Increment: 2.2 Enter the Balloon's Ending Time: 10 Weather Balloon Information Peak Altitude: 14298.6 (m) Corresponding Tine: 7.60 hr rightarrow If your program does not follow these specifications properly, the Grader Program will not accept your submission. Develop your IO diagram and pseudocode, debug your code, and submit to the Grader Program