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Question

Look at the graphs (a) to (d) (Fig. 3.20) carefully and state, with reasons, which of these cannot possibly represent one-dimensional motion of a particle.

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Solution

The given graphs are shown below:



The graph (a) does not represent one-dimensional motion. This is because at a particular time t, there are two positions of the object which is not possible in one-dimensional motion.

The graph (b) does not represent one-dimensional motion. This is because at a particular time t, the particle has two motions in opposite direction. It is an example of two-dimensional motion or motion in a plane.

The graph (c) is wrong because it shows negative speed of a particle. Speed of an object cannot be negative.

The graph (d) does not represent one-dimensional motion because the total path travelled by the particle cannot decrease with time but the graph shows the increase and decrease of the total path length with time.


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