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If S=16+ 192 t-t^(3), then distance tave...

If `S=16+ 192 t-t^(3)`, then distance tavelled by the particle before coming to rest is

A

`1040` units

B

`520` units

C

`260` units

D

`2080` units

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Knowledge Check

  • If S=16+(192) t-t^(3) , then distance travelled by the particle before coming to rest is

    A
    1040 units
    B
    520 units
    C
    260 units
    D
    2080 units

  • If S=(1)/(3)t^(3)-4t^(2)+12t , then distance travelled by the particle before it first comes to rest is

    A
    `(32)/(3)` units
    B
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    C
    `(64)/(3)` units
    D
    64 units

  • A particle moves along a straight line on y-axis. The distance of the particle from O varies with time and is given by : y = 20t - t^2 . The distance travelled by the particle before it momentarily comes to rest is

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    200 m
    B
    100 m
    C
    50 m
    D
    150 m

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