Velocity of a Boat A straight river flows east at a speed of 10 mi/h. A boater starts at the south shore of the river and heads in a direction 60° from the shore (see the figure). The motorboat has a speed of 20 mi/h relative to the water. (a) Express the velocity of the river as a vector in comp0- nent 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 and direction of the motorboat. 60°

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Velocity of a Boat A straight river flows east at a speed of
10 mi/h. A boater starts at the south shore of the river and
heads in a direction 60° from the shore (see the figure). The
motorboat has a speed of 20 mi/h relative to the water.
(a) Express the velocity of the river as a vector in comp0-
nent 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 and direction of the motorboat.
60°
Transcribed Image Text:Velocity of a Boat A straight river flows east at a speed of 10 mi/h. A boater starts at the south shore of the river and heads in a direction 60° from the shore (see the figure). The motorboat has a speed of 20 mi/h relative to the water. (a) Express the velocity of the river as a vector in comp0- nent 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 and direction of the motorboat. 60°
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