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Sketch a possible graph of the velocity.

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 ...

Solution Summary

This solution shows step by step how to develop and sketch the graph in this scenario, formatted in an attached Word document.

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