JEE Main & Advanced Physics Motion in a Straight Line / सरल रेखा में गति Sample Paper Topic Test - One Dimensional Motion

  • question_answer
    Acceleration versus velocity graph of a particle moving in a straight line is as shown in figure. The corresponding velocity-time graph would be

    A)

    B)

    C)

    D)

    Correct Answer: D

    Solution :

    [d] a-\[{{\overset{\to }{\mathop{F}}\,}_{BAC}}={{\overset{\to }{\mathop{F}}\,}_{BDC}}={{\overset{\to }{\mathop{F}}\,}_{BC}}\] equation can be written as
    \[a={{a}_{0}}-kv\]
    Here \[{{a}_{0}}\] and k are positive constants
    or        \[\frac{dv}{dt}={{a}_{0}}-kv\]
    or         \[\frac{dv}{{{a}_{0}}-kv}-dt\]
    On integration, we get
    \[v=\frac{{{a}_{0}}}{k}(1-{{e}^{-tk}})\]


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