JEE Main & Advanced Physics Motion in a Straight Line / सरल रेखा में गति Question Bank Non-uniform Motion

  • question_answer
    Starting from rest, acceleration of a particle is \[a=2(t-1).\] The velocity of the particle at \[t=5s\] is  [RPET 2002]

    A)              15 m/sec                    

    B)                         25 m/sec            

    C)                         5 m/sec                       

    D)                                  None of these

    Correct Answer: A

    Solution :

                                \[\because a=\frac{dv}{dt}=2(t-1)\]\[\Rightarrow dv=2(t-1)\ dt\]             \[\Rightarrow \nu =\int_{0}^{5}{2}\ (t-1)dt=2\left[ \frac{{{t}^{2}}}{2}-t \right]_{0}^{5}\]\[=2\left[ \frac{25}{2}-5 \right]\] = 15 m/s            


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