# Sketch a possible graph of the velocity.

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An object is moving along the straight line as follows. It starts at x = 0 and then it moves to the right to x = 2. Then the object moves to the left to x = - 3, and finally to the right to stop at x = 1. Sketch a possible graph of the position function s(t). Sketch a possible graph of the velocity v(t) (the instantaneous rate of change of s(t)).

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Key points:

The instantaneous rate of change of at (or the speed how quickly changes as the values of pass through ) is the slope of the tangent line to at , where the slope of the tangent is defined as

If we let , then

5. An object is moving along the straight line as follows. It starts at and then it moves to the right to . Then the objects moves to the left to , and finally to the right to stop at . Sketch a possible graph of the position function . Sketch a possible graph of the velocity (the instantaneous rate of ...

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