NEET Sample Paper NEET Sample Test Paper-59

  • question_answer
    The displacement x of a particle at the instant when its velocity is v is given by\[v=\sqrt{3x+16}\]. Its acceleration and initial velocity are.

    A) 1.5 unit, 4 unit      

    B)   3 unit, 4 unit

    C) 16 unit, 1.6 unit    

    D)   16 unit, 3 unit

    Correct Answer: A

    Solution :

    [a] \[v=\sqrt{3x+16}\] Squaring both sides \[\Rightarrow \,{{v}^{2}}=3x+16\] \[\Rightarrow \,{{v}^{2}}-16=3x\] Compare with \[{{v}^{2}}-{{u}^{2}}=2aS\] \[\begin{align}   & \underset{{}}{\mathop{2a=3}}\,\underset{{}}{\mathop{{{u}^{2}}=16}}\, \\  & \,\,\,\,\,\Downarrow \,\,\,\,\Downarrow  \\  & a=1.5m/su=4m/s \\ \end{align}\]


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