Explain with a reason which of the following graphs can possibly represent the motion of a particle observed in the nature.
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Solution
This graph shows that with the increase in time, distance first increases and then decreases. However, distance can never decrease with time. Thus this graph is not possible.
This graph shows that at a certain time the body is present in two positions. It also shows that first-time increases and then decreases. Since both these conditions cannot be realized in practice, thus this graph is not possible.
This graph shows that speed is negative for some interval of time. Since speed cannot be negative, thus this graph is also not possible.
This graph shows that at a given instant of time the particle has two velocities. Also, it shows that at some time it has infinite acceleration (graph parallel to the velocity axis. Hence, this graph cannot be achieved in practice.
Hence, none of the graphs can be observed in nature.