NEET Sample Paper NEET Sample Test Paper-54

  • question_answer
      The velocity of a particle is\[v={{v}^{0}}+gt+f{{t}^{2}}\]. If its position is \[x=0\text{ }at\text{ }t=0\], then its displacement after unit time \[\left( t=1 \right)\] is-

    A) \[{{v}_{0}}+2g+3f\]                

    B) \[{{v}_{0}}+g/2+f/3\]

    C) \[{{v}_{0}}+g+f\]                   

    D) \[{{v}_{0}}+g/2+f\]

    Correct Answer: B

    Solution :

    \[\int_{0}^{x}{dx\,\,=\,\int_{0}^{1}{({{v}_{0}}\,\,+\,\,gt\,\,+\,\,f{{t}^{2}})}\,dt}\] \[\Rightarrow \,\,\,x={{v}_{0}}+g\,\left( \frac{1}{2} \right)+f\left( \frac{1}{3} \right)\]


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