Suppose that a particle moves on a coordinate line so that its velocity at time $t$ is $v(t) = t^2 - 2t \text{ m/s}$ , then the displacement of the particle during the time interval $0 \leq t \leq 3$ is given by}
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Displacement measures net change in position (which can be positive, negative, or zero), whereas total distance traveled is the integral of the absolute value of velocity, $\int |v(t)| \, dt$, which is always non-negative.