The current of a 500-m-wide straight river has a flow rate of 2.55 km/h. A motorboat that travels with a constant speed of 8.00 km/h in still water crosses the river (Figure 3.21). 

(a) If the boat’s bow points directly across the river toward the opposite shore, what is the velocity of the boat relative to the stationary observer sitting at the corner of the bridge? 

(b) How far downstream will the boat’s landing point be from the point directly opposite its starting point? 

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500 m 3+ Urs Urs Obr Obs Ymax y=0 Ubs Relat FIGURE 3.21 Relative velocity and components of motion As the boat moves across the river, it is carried downstream by the current. (See Example 3.11.)