After traveling for 4 hours and 1800 miles, an airplane begins a steady decent. When it begins descending, it's altitude (height) is 33,000 feet. After 8 minutes, it is at 17,000 feet. Answer the questions to write a function that models the planes altitude. 1. How quickly does the airplane descend? In other words, what is the rate of change of the planes altitude? Explain. 2. When graphing the descent of the plane, what would the starting value for its altitude be? 3. Write a linear equation in y=mx+b form that gives the plane's altitude after it begins it's descent. Use x to represent the time (in minutes) after the descent starts and y to represent the plane's altitude (in feet). 4. Is there information given in this problem that you did not need to write an equation for the descent? If so, what unnecessary information were you given?

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.