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
    A body A begins to move with initial velocity 2 m/sec and continue to moves at a constant acceleration \[a.\text{ }\Delta \text{t}=10\] seconds after the body A begins to move a body B departs from the same point with an initial velocity 12 m/sec and moves with the same acceleration a. What is the maximum acceleration a at which the body B can overtake A?

    A) \[1\text{ }m/{{s}^{2}}\]          

    B) \[2\,m/{{s}^{2}}\]

    C) \[1/2\text{ }m/{{s}^{2}}\]         

    D) \[3\text{ }m/{{s}^{2}}\]

    Correct Answer: A

    Solution :

    \[\text{a}=\frac{{{\text{v}}_{\text{0}}}''-{{\text{v}}_{\text{0}}}\text{ }\!\!'\!\!\text{ }}{\Delta \text{t}}\] On substituting \[v{{'}_{0}}2\text{ m/s, v }\!\!'\!\!\text{  }\!\!'\!\!\text{ }{{ & }_{0}}=12\text{ m/s and }\Delta \text{t=10 sec,}\] We get, \[a=1\text{ }m/{{s}^{2}}\]


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