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Question
a cross - country skier moves 36 meters eastward, then 44 meters westward, and finally 22 meters eastward. for this motion, what is the distance moved? distance (m) = what is the magnitude and direction of the displacement? magnitude (m) = dirn =
Step1: Calculate the distance
Distance is the total length of the path traveled. Add up the magnitudes of each movement.
$36 + 44+22=102$
Step2: Calculate the displacement
Let east - ward be the positive direction and west - ward be the negative direction. The displacement $d$ is the net change in position.
$d = 36-44 + 22=14$
The positive sign indicates the direction is eastward.
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Distance (m) = 102
Magnitude (m) = 14
Dir'n = East