1. A straight river flows east at a speed of 20 mi/h. A boater starts at the south shore of the river and heads in the direction which is 60° to the south shore. The motorboat has a speed of 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 (as a 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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Parts D-E

1. A straight river flows east at a speed of 20 mi/h. A boater starts at the south shore of the river and
heads in the direction which is 60° to the south shore. The motorboat has a speed of 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 (as a bearing).
Transcribed Image Text:1. A straight river flows east at a speed of 20 mi/h. A boater starts at the south shore of the river and heads in the direction which is 60° to the south shore. The motorboat has a speed of 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 (as a bearing).
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