A plane takes off from an airport which is at sea level. The aircraft’s altitude inmetresat a time of t minutes is modelled by the equation h = 5400 ln(t + 1) a).What is the height of the plane after five minutes b) What is the rate of climb of the plane after five minutes? c) Using differentiation, show the curve y = h(t) has no stationary points, and hence comment on how realistic the model would be for large t.

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College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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A plane takes off from an airport which is at sea level. The aircraft’s altitude inmetresat a time of t minutes is modelled by the equation h = 5400 ln(t + 1) a).What is the height of the plane after five minutes b) What is the rate of climb of the plane after five minutes? c) Using differentiation, show the curve y = h(t) has no stationary points, and hence comment on how realistic the model would be for large t.

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