Answered: N W- E у (km) 20 Tower R 10 0. Car x…

N W- E у (km) 20 Tower R 10 0. Car x (km) 40 45.0° 20. 30 -10 60.0° -20 Tent Figure 3.17 (Example 3.5) The total displacement of the hiker is the vector R = Ã + B.

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Question

A hiker begins a trip by first walking 25.0 km southeast from her car. She stops and sets up her tent for the night. On the second day, she walks 40.0 km in a direction 60.0° north of east, at which point she discovers a forest ranger’s tower.
(A) Determine the components of the hiker’s displacement for each day. (B) Determine the components of the hiker’s resultant displacement R(→) for the trip. Find an expression for R(→) in terms of unit vectors.

N
W-
E
у (km)
20
Tower
R
10
0.
Car
x (km)
40
45.0° 20.
30
-10
60.0°
-20
Tent
Figure 3.17 (Example 3.5) The
total displacement of the hiker is
the vector R = Ã + B.

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