Chapter 4, Problem 24P

A ship is crossing a river at a heading of -150° with a speed of $V_{sw}=30$ mph against the water as shown in Fig. P4.24. The river is flowing in the direction of 135° with a speed of $V_w=10$ mph.

(a) Calculate the resultant velocity $\stackrel{\to }{V}$ of the ship using vector addition (use the $\hat{i}$ and $\hat{j}$ notation).

(b) Determine the magnitude and direction of $\stackrel{\to }{V}$. (c) Repeat part (b) using the laws of sines and cosines.