3. While on a boat excursion, a tourist accidentally falls overboard. This un- fortunately goes unnoticed by the rest of the boat crew, and they continue on their route. First they travel 3 km directly southeast. They then make a sharp turn to point South, and finally travel 1km South. The captain suddenly realises their missing passenger and the boat finally stops. The tourist, meanwhile, floats in the water and is subject to the ocean's currents. They drift 2 km directly west. (a) Write down the components of the vector B for the straight line between where the tourist fell and where the boat finally stopped. Note that the ar-component of the vector should correspond to the West-to-East direction and the y-component to the South-to-North direction. (b) Write down the components of the vector T for the straight line path the tourist drifted along.
3. While on a boat excursion, a tourist accidentally falls overboard. This un- fortunately goes unnoticed by the rest of the boat crew, and they continue on their route. First they travel 3 km directly southeast. They then make a sharp turn to point South, and finally travel 1km South. The captain suddenly realises their missing passenger and the boat finally stops. The tourist, meanwhile, floats in the water and is subject to the ocean's currents. They drift 2 km directly west. (a) Write down the components of the vector B for the straight line between where the tourist fell and where the boat finally stopped. Note that the ar-component of the vector should correspond to the West-to-East direction and the y-component to the South-to-North direction. (b) Write down the components of the vector T for the straight line path the tourist drifted along.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:3. While on a boat excursion, a tourist accidentally falls overboard. This un-
fortunately goes unnoticed by the rest of the boat crew, and they continue
on their route. First they travel 3 km directly southeast. They then make
a sharp turn to point South, and finally travel 1km South. The captain
suddenly realises their missing passenger and the boat finally stops.
The tourist, meanwhile, floats in the water and is subject to the ocean's
currents. They drift 2 km directly west.
(a) Write down the components of the vector B for the straight line
between where the tourist fell and where the boat finally stopped.
Note that the r-component of the vector should correspond to the
West-to-East direction and the y-component to the South-to-North
direction.
(b) Write down the components of the vector T for the straight line path
the tourist drifted along.
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