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    6.

    The acceleration experienced by a moving boat after is engine is cut-off, is given by a=−kv3,a = - k{v^3},, where k is a constant. If v0{v_0} is the magnitude of velocity at cut-off, then the magnitude of the velocity at time t after the cut off is

    A

    v02ktv02\frac{{{v_0}}}{{2ktv_0^2}}

    B

    v01+2  ktv02\frac{{{v_0}}}{{1 + 2\;ktv_0^2}}

    C

    v01−2  k  v02\frac{{{v_0}}}{{\sqrt {1 - 2\;k\;v_0^2} }}

    D

    v01+2  ktv02\frac{{{v_0}}}{{\sqrt {1 + 2\;ktv_0^2} }}

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    10.

    A monkey can jump a maximum horizontal distance of 20 m. Then the velocity of the monkey is

    A

    10  ms−110{\rm{\;m}}{{\rm{s}}^{ - 1}}

    B

    14  ms−114{\rm{\;m}}{{\rm{s}}^{ - 1}}

    C

    20  ms−1{\rm{20\;m}}{{\rm{s}}^{ - 1}}

    D

    24  ms−1{\rm{24\;m}}{{\rm{s}}^{ - 1}}

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