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

  • question_answer
    A train is moving at a constant speed V when its driver observes another train in front of him on the same track and moving in the same direction with constant speed v. If the distance between the trains is x, then what should be the minimum retardation of the train so as to avoid collision?

    A) \[\frac{(V+v)_{{}}^{2}}{x}\]  

    B) \[\frac{(V-v)_{{}}^{2}}{x}\]

    C) \[\frac{(V+v)_{{}}^{2}}{2x}\]

    D) \[\frac{(V-v)_{{}}^{2}}{2x}\]

    Correct Answer: D

    Solution :

    [d] Here relative velocity of the train W.r.t other train is \[V-v.\]hence, \[0-{{(V-v)}^{2}}=2ax\] Or \[a=-\frac{{{(V-v)}^{2}}}{2x}\]Minimum retardation =\[\frac{{{(V-v)}^{2}}}{2x}\]


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