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If a particle moves is a straight line a...

If a particle moves is a straight line according to `s=t^(3)-6t^(2)-15t`, the time interval during which the velocity is negative and acceleration is positive is

A

`2lttlt5`

B

`2letle5`

C

`tge2`

D

`tle2`

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A particle moves so that the distance moved is according to the law s(t)=(t^(3))/(3)-t^(2)+3 . At what time the velocity and acceleration are zero respectively ?

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Knowledge Check

  • A particle moves in a straight line according to the relation: x = t ^ { 3 } - 4 t ^ { 2 } + 3 t Find the acceleration of the particle at displacement equal to zero.

    A
    (-8,-2,10)
    B
    (-1,-2,10)
    C
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    D
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    A
    `(32)/(3)` m/sec
    B
    `(-16)/(3)` m/sec
    C
    `(16)/(3)` m/sec
    D
    `(-32)/(3)` m/sec

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