A straight river flows east at a speed of 12 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 24 mi/h relative to the water. (Assume that the I vector points east, and the j vector points north.) AN 60° (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.)
A straight river flows east at a speed of 12 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 24 mi/h relative to the water. (Assume that the I vector points east, and the j vector points north.) AN 60° (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.)
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.3: Vectors
Problem 35E
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