RAJASTHAN ­ PET Rajasthan PET Solved Paper-2002

  • question_answer
    The acceleration a of moving body from rest is 2 (t - 1). Then, the velocity at 5 s will be

    A)  15 m/s           

    B)  25 m/s

    C)  35 m/s           

    D)  45 m/s

    Correct Answer: A

    Solution :

     Acceleration \[a=\frac{dv}{dt}=2(t-1)\] Integrating, \[v={{t}^{2}}-2t+c\] Velocity\[v=0\]at \[t=0\] \[\therefore \] \[c=0\] \[v={{t}^{2}}-2t\] \[\therefore \] Velocity at 5 s \[v={{(5)}^{2}}-2\times 5\] \[=15m/s\]


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