The position of an airplane at time t is given by ¤(t) = y(t) = 5tº/2 and z(t) = t(6 – t) from take-off att = 0 and landing at t = 6. The gravitational force is F(x, y, z) = (0,0, –Mg), where M is the mass of the airplane and g the gravitational constant. Find the work done by the gravitational force on the airplane during the flight. %3D

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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The position of an airplane at time t is given by x(t) = y(t) = 5tº/2 and
z(t) = t(6 – t) from take-off at t = 0 and landing at t = 6. The gravitational
force is F(x, y, z) = (0,0, –Mg), where M is the mass of the airplane and g the
gravitational constant. Find the work done by the gravitational force on the
airplane during the flight.
Work
Transcribed Image Text:The position of an airplane at time t is given by x(t) = y(t) = 5tº/2 and z(t) = t(6 – t) from take-off at t = 0 and landing at t = 6. The gravitational force is F(x, y, z) = (0,0, –Mg), where M is the mass of the airplane and g the gravitational constant. Find the work done by the gravitational force on the airplane during the flight. Work
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