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Home > CALC > Chapter 7 > Lesson 7.4.4 > Problem 7-211


displacement over time = position at end – position at start

If x(t) was guaranteed to be strictly positive throughout the interval, then the total distance would equal the displacement.
But you were not given this guarantee, so you will have to investigate whether there is a direction change, or not.

Is there anywhere in which x ′(t) < 0 ?