MY NOTES PRACTICE ANOTHER 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 24 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. (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 E

MY NOTES PRACTICE ANOTHER 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 24 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. (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 E

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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Scalars and Vectors

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Question

**Problem Statement:**

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 24 mi/h relative to the water. (Assume that the \( \mathbf{i} \) vector points east, and the \( \mathbf{j} \) vector points north.)

**Questions:**

(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.)

Find the direction of the motorboat. (Round your answer to one decimal place.)

**Diagram Explanation:**

The diagram shows a motorboat moving northeast across a river. The boat is angled 60° from the southern shore, indicating its movement direction. It is depicted with a vector pointing in the aforementioned direction, denoting its velocity relative to the water. The general motion is northeast, counteracting the eastward flow of the river.

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