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 magnitude and direction of the total displacement.

(a)

(b)

Explanation:

Let us take the north direction to be the positive y-axis and the east to be positive x-axis.

First day:

25.0 km southeast, which implies south of east. The y-component will be negative and the x-component will be positive.

Second day:

She starts off at the stopping point of last day. This time, both the y- and x-components are positive.

Therefore, total displacements:

Magnitude of displacements,

Direction,

b) returns freshwater to the earth.

c) returns freshwater to the earth.c) occurs after condensation.

d) returns freshwater to the earth.c) occurs after condensation.d) roughly equal to the amount of evaporation.

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