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a cross-country skier moves 32 meters westward, then 54 meters eastward…

Question

a cross-country skier moves 32 meters westward, then 54 meters eastward, and finally 68 meters westward.
for this motion, what is the distance moved?
distance (m) =
what is the magnitude and direction of the displacement?
magnitude (m) =
dirn =

Explanation:

Step1: Calculate the distance

Distance is the total length of the path covered.
$$32 + 54+68$$

Step2: Calculate the displacement

Let westward be positive. Displacement is the net change in position.
$$32-54 + 68$$

Answer:

Distance: \(154\) m
Magnitude of displacement: \(46\) m
Dir'n: Westward