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

  • question_answer
    An electron starting from rest has a velocity that increases linearly with the time that is \[v=kt,\] where \[k=2m/{{\sec }^{2}}\]. The distance travelled in the first 3 seconds will be            [NCERT 1982]

    A)             9 \[m\]

    B)             16 \[m\]

    C)             27 \[m\]           

    D)             36 \[m\]

    Correct Answer: A

    Solution :

                    \[S=\int_{0}^{3}{v\ dt}=\int_{0}^{3}{kt\ dt}=\left[ \frac{1}{2}k{{t}^{2}} \right]_{0}^{3}=\frac{1}{2}\times 2\times 9=9m\]


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