Two campers in a national park hike from their cabin to the same spot on a lake,
ID: 2138746 • Letter: T
Question
Two campers in a national park hike from their cabin to the same spot on a lake, each taking a different path, as illustrated below. The total distance traveled along Path 1 is 7.5 km, and that along Path 2 is 8.2 km. What is the final displacement of each camper?
Figure 19 Two campers in a national park hike from their cabin to the same spot on a lake, each taking a different path, as illustrated below. The total distance traveled along Path 1 is 7.5 km, and that along Path 2 is 8.2 km. What is the final displacement of each camper?Explanation / Answer
Displacement is change in position vector.its independent of the path taken.
initial position vector of the camper 1, =initial position vector of the camper 2= (0 i+0 j)km
final position vector of the camper 1 =final position vector of the camper 2= 5*cos 40 i+5*sin 40 j
=(3.83 i+3.21 j) km
Displacement of champer 1 = final position vector-initial position vector
=(3.83 i+3.21 j)-(0 i+0 j)
=(3.83 i+3.21 j) km
Displacement of champer 2= final position vector-initial position vector
=(3.83 i+3.21 j)-(0 i+0 j)
=(3.83 i+3.21 j) km
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