Chapter 13.4, Problem 34E

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8th Edition

James Stewart

ISBN: 9781305266643

Textbook Problem

Another reasonable model for the water speed of the river in Exercise 33 is a sine function: *f*(*x*) = 3 sin(*πx*/40). If a boater would like to cross the river from *A* to *B* with constant heading and a constant speed of 5 m/s, determine the angle at which the boat should head.

To determine

**To find:** The angle at which the boat should head.

Explanation

**Given data:**

**Formula used:**

Write the expression to find the velocity.

Let

The velocity of the boat is

Substitute 5 for

At *t* seconds, the boat is

Substitute

The resultant velocity of the boat is

Substitute

Substitute

If we place the boat initially at origin that is

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