JEE Main & Advanced Physics Motion in a Straight Line / सरल रेखा में गति Question Bank Self Evaluation Test - Motion in a Strainght Line

  • question_answer
    Which of the following graphs gives the equation  \[\text{x =  }{{\text{v}}_{0}}\text{t+}\frac{1}{2}\text{ a}{{\text{t}}^{2}}\]

    A)

    B)

    C)

    D) None of these

    Correct Answer: C

    Solution :

    given \[x={{V}_{0}}t+\frac{1}{2}a{{t}^{2}}\] \[\frac{dx}{dt}={{V}_{0}}+\frac{1}{2}\times a\times 2t={{V}_{0}}+at\] \[\Rightarrow V={{V}_{0}}+at\] So, option represents the correct graph.


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