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The figure gives the x-t plot of a particle in one-dimensional motion. Three different equal intervals of time are shown. In which interval is the average speed greatest, and in which is it the least? Give the sign of average velocity for each interval.
The figure gives the x-t plot of a particle in one-dimensional motion. Three different equal intervals of time are shown. In which interval is the average speed greatest, and in which is it the least? Give the sign of average velocity for each interval.
CBSE | Class 11 | Motion in a Straight Line | NCERT | Physics
The figure gives the x-t plot of a particle in one-dimensional motion. Three different equal intervals of time are shown. In which interval is the average speed greatest, and in which is it the least? Give the sign of average velocity for each interval.

Answer –

Interval 2 (Largest), Interval 3 (Greatest) (Least)
Positive (Intervals 1 & 2), Negative (Intervals 3 & 4) (Interval 3)
The slope of the graph at a given time interval is used to calculate the average speed of a particle shown in the x-t graph.
The magnitude of slope is highest and least restively in intervals 3 and 2 correspondingly, as seen in the graph. As a result, the particle’s average speed is greatest in interval 3 and lowest in interval 2. In both intervals 1 and 2, the sign of average velocity is positive since the slope is positive. In interval 3, however, it is negative because the slope is negative in this interval.

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