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calculus project-1

# calculus project-1 - Lovejot Kaur Mat 201.7783 Prof John...

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Lovejot Kaur Mat 201.7783 Prof. John Nutakor July 11, 2009 Where Should A Pilot Start Decent? An approach path for an aircraft landing is shown in the figure and satisfies the following conditions: a) The cruising altitude is h when decent starts at a horizontal distance l from touchdown at the origin. b) the pilot must maintain a constant horizontal speed v throughut descent.

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c) The absolute value of the vertical acceleration should not exceed a constant k (which is much less than the acceleration due to gravity). 2. Find a cubic polynomial P(x) = ++ + cx d that satisfies condition (a) by imposing suitable conditions on P(x) and P'(x) at the start of descent and at touchdown. 3. Use conditions (b) and (c) to show that k 4. Suppose that an airline decides not to allow vertical acceleration of a plane to exceed k= 800 mi./. if the cruising altitude of a plane is 35,000 ft and the speed is 300 mi/h, how far away from the airport should the pilot start descent?
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calculus project-1 - Lovejot Kaur Mat 201.7783 Prof John...

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