A bird watcher meanders through the woods, walking 0.45 km due east, 0.65 km due

Question

A bird watcher meanders through the woods, walking 0.45 km due east, 0.65 km due south, and 2.45 km in a direction 45.0° north ofwest. The time required for this trip is 3.00 h.

(a) Determine the magnitude and direction (relative to due west) ofthe bird watcher's displacement. Use kilometers and hours fordistance and time, respectively.

determine magnitude ? in Km
determine direction ? degrees North of West


(b) Determine the magnitude and direction (relative to due west) ofthe bird watcher's average velocity.

determine magnitude ? in Km
determine direction ? degrees North of West

Explanation / Answer

A bird watcher meanders through the woods,walking 0.45 km dueeast, 0.65 km due south,and 2.45 km in adirection 45.0°north of west. The time required for thistrip is 3.00 h. (a)Determine the magnitude and direction (relative to due west) of thebird watcher's displacement. Use kilometers and hours for distanceand time, respectively. displacement the reultant of first two=0.452+0.652=0.7905km in a directionopposite to final one hence the displacement =2.45-0.7905=1.6595km direction =north of west magnitude km direction ° north of west (b) Determine the magnitude and direction (relative to due west) ofthe bird watcher's average velocity. average velocity=total displacement/totaltime=1.6595/3=0.5531km/h direction =north of west. magnitude km/hr direction ° north of west

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