The velocity versus time plot of a particle is shown in the figure, for a time interval of 40 s

Question

The velocity $(v)$ versus time $(t)$ plot of a particle is shown in the figure, for a time interval of 40 s. The total distance travelled by the particle and the average velocity during this period are, respectively _____. [2026]

Smart Achievers · Accepted Answer

(3)

$Total distance travel, d =$ $| A_{1} |$ $+$ $| A_{2} |$

$\Rightarrow d = (\frac{1}{2} \times 20 \times 5) 2 = 100 m$

$Average velocity = \frac{Total displacement}{Total time}$

$< \vec{v} >$ $= \frac{| A_{1} | - | A_{2} |}{40} = 0$

Solution

Q.
The velocity $(v)$ versus time $(t)$ plot of a particle is shown in the figure, for a time interval of 40 s. The total distance travelled by the particle and the average velocity during this period are, respectively _____. [2026]

1 25 m and zero

2 50 m and zero

3 100 m and zero

4 100 m and 2.5 m/s

Ans.
(3)

$Total distance travel, d =$ $| A_{1} |$ $+$ $| A_{2} |$

$\Rightarrow d = (\frac{1}{2} \times 20 \times 5) 2 = 100 m$

$Average velocity = \frac{Total displacement}{Total time}$

$< \vec{v} >$ $= \frac{| A_{1} | - | A_{2} |}{40} = 0$

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