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Displacement-time graphs

A displacement-time graph shows the time $$t$$ on the $$x$$-axis and the displacement $$\vecphy{s}$$ of an object on the $$y$$-axis. The object in question is assumed to undergo linear motion.

Negative $$\vecphy{s}$$ values imply that the object has moved past its starting point in the opposite direction.

The gradient of the graph is equal to the velocity at time $$t$$.

A straight line in the displacement-time graph indicates constant velocity. When the straight line is horizontal, $$v=0 \text{ m/s}$$. In other words, the object stands still.

  • A - object travels at uniform speed of $$2 \umps$$.
  • B - object is at rest $$2 \um$$ from origin.
  • C - object travels at $$-2 \umps$$, passing origin on the way.
  • D - object is at rest $$-2 \um$$ from origin.
  • E - object travels at uniform speed of $$2 \umps$$, returning to origin.