On a training flight, a student pilot flies from Lincoln, Nebraska, to Clarinda, Iowa, next to St. Joseph, Missouri, and then to Manhattan, Kansas ( Fig. P1.66 ). The directions are shown relative to north: 0° is north, 90° is east, 180° is south, and 270° is west. Use the method of components to find (a) the distance she has to fly from Manhattan to get back to Lincoln, and (b) the direction (relative to north) she must fly to get there. Illustrate your solutions with a vector diagram. Figure P1.66
On a training flight, a student pilot flies from Lincoln, Nebraska, to Clarinda, Iowa, next to St. Joseph, Missouri, and then to Manhattan, Kansas ( Fig. P1.66 ). The directions are shown relative to north: 0° is north, 90° is east, 180° is south, and 270° is west. Use the method of components to find (a) the distance she has to fly from Manhattan to get back to Lincoln, and (b) the direction (relative to north) she must fly to get there. Illustrate your solutions with a vector diagram. Figure P1.66
On a training flight, a student pilot flies from Lincoln, Nebraska, to Clarinda, Iowa, next to St. Joseph, Missouri, and then to Manhattan, Kansas (Fig. P1.66). The directions are shown relative to north: 0° is north, 90° is east, 180° is south, and 270° is west. Use the method of components to find (a) the distance she has to fly from Manhattan to get back to Lincoln, and (b) the direction (relative to north) she must fly to get there. Illustrate your solutions with a vector diagram.
You are on a treasure hunt and your map says "Walk due west for 23.1 paces, then walk 40.0° north of west for 48.7 paces, and finally
walk due north for 30.7 paces." What is the magnitude of the component of your displacement in the direction (a) due north and (b)
due west?
(a) Number i
(b) Number i
T
Units
Units
B
OB
W
A
N
S
E
Start
A commuter airplane starts from an airport and takes theroute shown in Figure P1.71. The plane first flies to city A,located 175 km away in a direction 30.0° north of east. Next,it flies for 150. km 20.0° west of north, to city B. Finally, theplane flies 190. km due west, to city C. Find the location ofcity C relative to the location of the starting point.
A Red Cross helicopter takes off from headquarters and flies 90 km in the direction 210° from North.It drops off some relief supplies, then flies 115 km at 300° from North to pick up three medics.If the helicoper then heads directly back to headquarters, find the distance and direction (rounded to one decimal place) it should fly.
Distance ≈≈ km
Direction ≈≈ degrees from North
Chapter 1 Solutions
University Physics with Modern Physics Plus Mastering Physics with eText -- Access Card Package (14th Edition)
Sears And Zemansky's University Physics With Modern Physics
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