Chapter 3, Problem 43P

To determine

The velocity of the boat relative to the shore.

Answer to Problem 43P

The velocity of the boat relative to shore is $1.41\text{m}/\text{s}$ .

Explanation of Solution

Given info:

The velocity of the boat relative to water is, $v_{brw}=1.85\text{m}/\text{s}$ .

The angle of the velocity of the boat is, $\theta =40.4°$ .

Formula Used:

The expression to calculate the velocity of the boat relative to shore is,

  $v_{brs}=v_{brw}\cos \theta$

Calculation:

Substitute all the values in the above expression.

  $\begin{array}{c}{v}_{brs}=\left(1.85\text{m}/\text{s}\right)\left(\cos 40.4°\right)\\ =1.41\text{m}/\text{s}\end{array}$

Conclusion:

Thus, the velocity of the boat relative to shore is $1.41\text{m}/\text{s}$ .