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A particle moves along x- axis. It's vel...

A particle moves along `x-` axis. It's velocity is a function of time according to relation `V=(3t^(2)-18t+24)m//s` assume at `t=0` particle is at origin.
Which of the following graph may be correct for the motion of particle

A

B

C

D

Text Solution

Verified by Experts

The correct Answer is:
D
Velocity time graph will be

Speed time graph `=|` Velocity time graph `|`
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Knowledge Check

  • A particle moves along x- axis. It's velocity is a function of time according to relation V=(3t^(2)-18t+24)m//s assume at t=0 particle is at origin. Time interval in which particle speed continuous decreases?

    A
    `0-3 sec`
    B
    `0-2 sec`
    C
    `2-4 sec`
    D
    `2-3 sec`

  • A particle moves along x- axis. It's velocity is a function of time according to relation V=(3t^(2)-18t+24)m//s assume at t=0 particle is at origin. Distance travelled by particle in 0 to 3 second time interval is :

    A
    `18m`
    B
    `20m`
    C
    `22m`
    D
    `24m`

  • A particle is moving on a straight line with velocity (v) as a function of time (t) according to relation v = (5t^(2) - 3t + 2)m//s . Now give the answer of following questions : Acceleration of particle at the end of 3^(rd) second of motion is :

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    C
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    D
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