Question 3: Antidifferentiation and the Flight Paths of Airplanes

The flight of the airplane can be modelled by a piece-wise function that includes three portions. They include the flight acceleration for take off, constant flight, and flight deceleration until landing. For each city-to-city flight, the airplane accelerates for 0.25 hours, decelerates for 2/3 hours and flies the remaining distance at a constant velocity.

A.) Using the given functions and coordinates for each section of the piece-wise function, find the functions s(t)1, s(t)2, and s(t)3.

B.) With the functions s(t)1, s(t)2, and s(t)3, discover which of the three flights (taking into account departure time and flight delays) would arrive in Mexico City first, from the city of Winnipeg. Be sure to show all of your work and the times at which each airplane will arrive at Mexico City (Neglect time zone changes for time).


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