JEE Main & Advanced Physics Motion in a Straight Line / सरल रेखा में गति Question Bank Self Evaluation Test - Motion in a Strainght Line

  • question_answer
    The displacement x of a particle at the instant when its velocity is v is given by \[v\text{ }=\text{ }\sqrt{3x+16}.\] Its acceleration and initial velocity are

    A) 1.5 units, 4 units 

    B) 3 units, 4 units

    C) 16 units, 1.6 units

    D) 16 units, 3 units

    Correct Answer: A

    Solution :

    \[\text{v=}\sqrt{3x+16}\Rightarrow {{\text{v}}^{2}}=3x+16\] \[\Rightarrow {{v}^{2}}-16=3x\] Comparing with \[{{v}^{2}}-{{u}^{2}}=\text{ }2aS\], we get, \[u=4\]units, \[2a=3\]or \[a=1.5\text{ }units\]


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