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-10 points SerCP8 3.P.014 While exploring a cave, a spelunker starts at the entr

ID: 1884872 • Letter: #

Question

-10 points SerCP8 3.P.014 While exploring a cave, a spelunker starts at the entrance and moves the following distances: 75.0 m north, 215 m east, 190 m at an angle 30.0° north of east, and 150 m south. Find the resultant displacement from the cave entrance My Notes Ask Your m at north of east Need Help? 10 points SerCP8 3 P019. A commuter airplane starts from an airport and takes the route shown in the figure below. 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, the plane flies 190 km due west, to city C. Find the location of city C relative to the location of the starting point. distance My Notes Ask Your km o west of north Need Help? .ntru linte.Mel -/10 points SerCP8 3.P018 A small map shows New York to be 486 miles in a direction 8° north of east from Columbus. The same map shows that Buffalo is 302 miles in a direction My Notes Ask Your 56° west of north from New York. Assume a flat Earth, and use the given information to find the displacement from Columbus to Buffalo. magnitude directiorn miles enorth of east of Columbus

Explanation / Answer

1)

Distance travelled, r1 = 75 j

r2 = 215 i

r3 = 190 cos 30 i + 190 sin 30 j = 164.54 i + 95 j

r4 = - 150 j

r = r1 + r2 + r3 + r4

= (215 + 164.54)i + (75 - 150 + 95) = 379.54 i + 20 j

Magnitude, r = sqrt (379.54^2 + 20^2) = 380.07 m

Angle, theta = arctan (20/379.54) = 3.02 degree

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