Sarah begins at a negative position along the x-axis. sarah moves in the positive x-direction, turns around and then moves in the negative x-direction. her final position is more negative that her initial position. is the magnitude of sarah's displacement greater than, less than, or equal to the distance she travels?

he magnitude of Sarah's displacement is less than the distance she travels

Step-by-step explanation:

Hi!

The magnitude of her displacement is just the difference between her final and initial state, however the distance she traveled is two times the distance she moved in the positive x-direction until she turned around, since she had to move back, plus her displacement.

So:

Since all the terms are positive:

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step-by-step explanation: