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Haryana PMT Haryana PMT Solved Paper-2006

  • question_answer
    A body initially at rest is moving with uniform     acceleration a. Its velocity after n s is v. The displacement of the body in 2 s is :

    A)                  \[\frac{2v(n-1)}{n}\]                                     

    B) \[\frac{v(n-1)}{n}\]

    C)                  \[\frac{v(n+1)}{n}\]                      

    D)  \[\frac{2v(n+1)}{n}\]

    Correct Answer: A

    Solution :

                    Displacement in last 2s     \[=\frac{1}{2}a{{n}^{2}}-\frac{1}{2}a{{(n-2)}^{2}}\] \[=2a(n-1)\]                        Acceleration  \[a=\frac{v}{n},\]                  (\[\because \]  \[t=n\,\,s\]) Displacement in last \[2s=\frac{2v(n-1)}{n}\]


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