A bird watcher meanders through the woods, walking 0.40 km due
east, 0.70 km due south, and 2.15 km in a direction 31.0° north of
west. The time required for this trip is 3.00 h.
(a) Determine the magnitude and direction (relative to due west) of the bird watcher's displacement. Use kilometers and hours for distance and time, respectively.
Magnitude: ___km
Direction:_____north of west
(b) Determine the magnitude and direction (relative to due west) of
the bird watcher's average velocity.
Magnitude: _____km
Direction:_____ north of west
net displacement along x axis
dx = 0.4 - 2.15 cos 31 = - 1.44 km
net displacement along y axis
dy = - 0.7 + 2.15 sin 31 = 0.4073 km
net displacement
d^2 = dx^2 + dy^2
d^2 = 1.44^2 + 0.4073^2
d = 1.5 km
direction,
x = arctan ( 0.4073 / 1.44) = 15.793 north of west.
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b)
av velocity = d/t = 0.5 km/h
direction same as (a)
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A bird watcher meanders through the woods, walking 0.40 km due east, 0.70 km due south,...
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