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Question: Figure shows the x-t plot of a particle in one-dimensional motion. Two different equal intervals of ...

Figure shows the x-t plot of a particle in one-dimensional motion. Two different equal intervals of time are shown. Let v1v_{1}and v2v_{2}be average speed in time intervals 1 and 2 respectively. Then

A

v1>v2v_{1} > v_{2}

B

v2>v1v_{2} > v_{1}

C

v1=v2v_{1} = v_{2}

D

Data is insufficient

Answer

v1>v2v_{1} > v_{2}

Explanation

Solution

The average speed in a small interval of time is equal to the slope of x-t graph during that interval. As slope of interval 1 > slope of interval 2

v1>v2\therefore v_{1} > v_{2}