Question

The graph of position- time shown in the figure for a particle is not possible because

Answer 1

Hint: Position- time graphs are generally used to describe the motion that the object is following. We take x-axis to denote time and y-axis to denote its position. The velocity is the slope of this position-time graph. As the steepness of the graph is increasing it has greater the value of its velocity. The velocity changes with the change in its slope always. That is, both the quantities are interrelated.

Complete step-by-step answer:

Since $x_1$ and $x_2$ are two positions at the same time it is not possible.
Position- time graphs are generally used to describe the motion that the object is following. We take x-axis to denote time and y-axis to denote its position. The velocity is the slope of this position-time graph. As the steepness of the graph is increasing it has greater the value of its velocity. The velocity changes with the change in its slope always. That is, both the quantities are interrelated. The position- time graph can be negative whenever the velocity is negative. If the position- time graph has a constant slope then it has a constant velocity.

Note: If the position- time graph has a constant slope then it has a constant velocity. As the steepness of the graph is increasing it has greater the value of its velocity. The velocity changes with the change in its slope always. The velocity is the slope of this position-time graph. Since $x_1$ and $x_2$ are two positions at the same time it is not possible in the case of a position-time graph.