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Velocity-time graph of a particle moving...

Velocity-time graph of a particle moving in a straight line is shown in figure. In the time interval from `t = 0` to `t = 14 s,` find

(a) average velocity and
(b) average speed of the particle.

Text Solution

Verified by Experts

The correct Answer is:
A, B
Displacement s=net area of v-t graph
`=40+40+40-20=100m`
Distance `d=|"Total area"|`
`=40+40+40+20=140m`
(a) Average velocity=`s/t=100/14=50/7 m//s`
(b) Average speed=`d/t=140/14=10 m//s`
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Knowledge Check

  • Velocity-time graph of a particle moving in a straight line is shown in figure. In the time interval from t = 0 to t = 14 s, find: Q. average velocity and

    A
    `((50)/(7))m//s`
    B
    `((25)/(7))m//s`
    C
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    D
    `((15)/(7))m//s`

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    A
    20m/s
    B
    40m/s
    C
    10m/s
    D
    30m/s

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    The particle has zero displacement.
    D
    The average speed in the interval 0 to 10 s is the same as the average speed in the interval 10s to 20 s.

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