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A straight river flows east at a speed of 11 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.) 60° (a) Express the velocity of the river as a vector in component form. Your answer cannot be understood or graded. More Information X (b) Express the velocity of the motorboat relative to the water as a vector in component form. (Round your answer to two decimal places.) X (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 E

A straight river flows east at a speed of 11 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.) 60° (a) Express the velocity of the river as a vector in component form. Your answer cannot be understood or graded. More Information X (b) Express the velocity of the motorboat relative to the water as a vector in component form. (Round your answer to two decimal places.) X (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 E

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.3: Vectors
Problem 48E
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A straight river flows east at a speed of 11 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.) N 60° (a) Express the velocity of the river as a vector in component form. Your answer cannot be understood or graded. More Information X (b) Express the velocity of the motorboat relative to the water as a vector in component form. (Round your answer to two decimal places.) X (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 ° E
Transcribed Image Text:A straight river flows east at a speed of 11 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.) N 60° (a) Express the velocity of the river as a vector in component form. Your answer cannot be understood or graded. More Information X (b) Express the velocity of the motorboat relative to the water as a vector in component form. (Round your answer to two decimal places.) X (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 ° E
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