JEE Main & Advanced Physics Motion in a Straight Line / सरल रेखा में गति Question Bank Mock Test - Motion in one Dimension

  • question_answer
    A particle is thrown up inside a stationary lift of sufficient height. The time of flight is T. Now it is thrown again with same initial speed\[{{v}_{0}}\]with respect to lift. At the time of second throw, lift is moving up with speed \[{{v}_{0}}\] and uniform acceleration g upward (the acceleration due to gravity). The new time of flight is

    A) \[\sqrt{2T}\]      

    B) \[\frac{T}{2}\]

    C) \[T\]                 

    D) \[2T\]

    Correct Answer: B

    Solution :

    [b] with respect to lift initial speed = \[{{v}_{0}}\] Acceleration = -2g Displacement = 0\[\therefore S=ut+\frac{1}{2}a{{t}^{2}}\] \[0={{v}_{0}}T'+\frac{1}{2}\times 2g\times T{{'}^{2}}\] \[\therefore T'=\frac{{{v}_{0}}}{g}=\frac{1}{2}\times \frac{2{{v}_{0}}}{g}=\frac{1}{2T}\]


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