As a test of orienteering skills, your physics class holds a contest in a large, open field. Each contestant is told to travel 20.8 m due north from the starting point, then 38.0 m due cast, and finally 18.0 m in the direction 33.0° west of south. After the specified displacements, a contestant will find a silver dollar hidden under a rock. The winner is the person who takes the shortest time to reach the location of the silver dollar. Remembering what you learned in class, you run on a straight line from the starting point to the hidden coin. How far and in what direction do you run?
As a test of orienteering skills, your physics class holds a contest in a large, open field. Each contestant is told to travel 20.8 m due north from the starting point, then 38.0 m due cast, and finally 18.0 m in the direction 33.0° west of south. After the specified displacements, a contestant will find a silver dollar hidden under a rock. The winner is the person who takes the shortest time to reach the location of the silver dollar. Remembering what you learned in class, you run on a straight line from the starting point to the hidden coin. How far and in what direction do you run?
As a test of orienteering skills, your physics class holds a contest in a large, open field. Each contestant is told to travel 20.8 m due north from the starting point, then 38.0 m due cast, and finally 18.0 m in the direction 33.0° west of south. After the specified displacements, a contestant will find a silver dollar hidden under a rock. The winner is the person who takes the shortest time to reach the location of the silver dollar. Remembering what you learned in class, you run on a straight line from the starting point to the hidden coin. How far and in what direction do you run?
You are on a treasure hunt and your map says "Walk due west for 86.1 paces, then walk 50.0 ° north of west for 65.5 paces, and finally walk due north for 11.9 paces." What is the magnitude of the component of your displacement in the direction (a) due north and (b) due west?
Devon is designing the course for an upcoming race. The course he has designed runs 105 meters west, 605 meters south, 475 meters east, 915 meters south, 825 meters east, 1265 meters north, then 810 meters west. What is the displacement vector from the starting line to the finish line?
509 m, 52.0∘ east of south
462 m, 33.5∘ east of south
509 m, 52.0∘ south of east
462 m, 33.5∘ south of east
Starting at the origin, a person walks 350 meters in a direction 30.0° South of West, then 570 meters in a direction 35.0° West of North. If the person now wishes to walk in a straight line back to the origin, what must be the magnitude and direction of the displacement?
Chapter 1 Solutions
Mastering Physics with Pearson eText -- Standalone Access Card -- for University Physics with Modern Physics (14th Edition)
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