A ferry is crossing Pamlico Sound and is located at point P when it is spotted by a nearby lighthouse. It is moving along a constant course angle of a = 15 deg with speed of 90 km/h and is slowing down at a rate of -0.5 m/s² as it approaches its destination. Relative to an observer in the lighthouse at point O determine , r, & and at the instant where r = 400 m and 0 = 60 deg. V a r 0

A ferry is crossing Pamlico Sound and is located at point P when it is spotted by a nearby lighthouse. It is moving along a constant course angle of a = 15 deg with speed of 90 km/h and is slowing down at a rate of -0.5 m/s² as it approaches its destination. Relative to an observer in the lighthouse at point O determine , r, & and at the instant where r = 400 m and 0 = 60 deg. V a r 0

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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4 Problem
A ferry is crossing Pamlico Sound and is located at point P when it is spotted by a nearby
lighthouse. It is moving along a constant course angle of a = 15 deg with speed of 90 km/h and
is slowing down at a rate of -0.5 m/s² as it approaches its destination. Relative to an observer in
the lighthouse at point O determine r, r, 8 and Ö at the instant where r = 400 m and 0 = 60 deg.
V
α
p
0

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Step 1: Write position of point P with respect to point O.

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Step 2: Write relation between the velocity in terms of polar coordinates.

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Step 3: Write relation between the acceleration in terms of polar coordinates.

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