Question:
The displacement (\(x\)) and time (\(t\)) graph of a particle moving along a straight line is shown in the figure. The average velocity of the particle in the time of 10s is:
The displacement (\(x\)) and time (\(t\)) graph of a particle moving along a straight line is shown in the figure. The average velocity of the particle in the time of 10s is:
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For average velocity, always divide the total displacement by the total time taken.
Updated On: Jun 6, 2025
- 2 m s\(^{-1}\)
- 4 m s\(^{-1}\)
- 6 m s\(^{-1}\)
- 8 m s\(^{-1}\)
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The Correct Option is A
Solution and Explanation
To calculate the average velocity, we use the formula:
\[
\text{Average velocity} = \frac{\text{Total displacement}}{\text{Total time}}.
\]
From the graph, the total displacement is 20 m and the total time is 10 s. Therefore, the average velocity is:
\[
\frac{20 \, \text{m}}{10 \, \text{s}} = 2 \, \text{m s}^{-1}.
\]
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