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

  • question_answer
    The initial velocity of a particle is \[u\]  (at \[t=0\]) and the acceleration \[{{n}^{th}}\] is given by \[at\]. Which of the following relation is valid                        [CPMT 1981; BHU 1995]

    A)             \[v=u+a{{t}^{2}}\]

    B)             \[v=u+a\frac{{{t}^{2}}}{2}\]

    C)             \[v=u+at\]     

    D)             \[v=u\]

    Correct Answer: B

    Solution :

                    If acceleration is variable (depends on time) then   \[v=u+\int{(f)}\ dt\]\[=u+\int{(a\ t)}\ dt\]\[=u+\frac{a\ {{t}^{2}}}{2}\]


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