A cyclist rides 3 km west and then turns around and rides 2 km east. (a) What is her displacement? (b) What distance does she ride? (c) What is the magnitude of her displacement?

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A cyclist rides 3 km west and then turns around and rides 2 km east. (a) What is her displacement? (b) What distance does she ride? (c) What is the magnitude of her displacement?

Solutions:

(a) The rider’s displacement is Δx = xf − xo=-1 km. (The displacement is negative because we take east to be positive and west to be negative.)

(b) The distance traveled is 3 km + 2 km = 5 km.

(c) The magnitude of the displacement is 1 km.

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