A straight river flows east at a speed of 10 m/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 18 mi/h relative to the water. (Assume that the i vector points east, and the j vector points north (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. (Round your answer to two decimal places.) (c) Find the true velocity of the motorboat. (Round your answer to two decimal places.)

College Physics
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ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
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Chapter1: Units, Trigonometry. And Vectors
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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 18 mi/h relative to the water. (Assume that the i vector points east, and the j vector points north.)
(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. (Round your answer to two decimal places.)
(c) Find the true velocity of the motorboat. (Round your answer to two decimal places.)
(d) Find the true speed of the motorboat. (Round your answer to one decimal place.)
mi/h
Find the direction of the motorboat. (Round your answer to one decimal place.)
N
Transcribed Image Text: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 18 mi/h relative to the water. (Assume that the i vector points east, and the j vector points north.) (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. (Round your answer to two decimal places.) (c) Find the true velocity of the motorboat. (Round your answer to two decimal places.) (d) Find the true speed of the motorboat. (Round your answer to one decimal place.) mi/h Find the direction of the motorboat. (Round your answer to one decimal place.) N
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