A straight river flows east at a speed of 20mi/h. A boater starts at the south shore of the river and heads in the direction which is 60o to the south shore. The motorboat has a speed 20 mi/h relative to the water. (a) Express the velocity of the river as a vector in component form; (b) Express the velocity of the motorboat relative to the water as a vector in component form; (c) Find the true velocity of the motorboat; (d) Find the true speed of the motorboat; (e) Find the true direction of the motorboat (the bearing).

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter3: Motion In Two Dimensions
Section: Chapter Questions
Problem 1P: A motorist drives south at 20.0 m/s for 3.00 min, then turns west and travels at 25.0 m/s for 2.00...
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A straight river flows east at a speed of 20mi/h. A boater starts at the south shore of the
river and heads in the direction which is 60o
to the south shore. The motorboat has a
speed 20 mi/h relative to the water.
(a) Express the velocity of the river as a vector in component form;
(b) Express the velocity of the motorboat relative to the water as a vector in component form;
(c) Find the true velocity of the motorboat;
(d) Find the true speed of the motorboat;
(e) Find the true direction of the motorboat (the bearing).

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