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NEET Physics Two Dimensional Motion NEET PYQ-Two Dimensional Relative Motion

  • question_answer
    The \[x\] and \[y\] coordinates of the particle at any time are \[x=5t-2{{t}^{2}}\] and \[y=10t\] respectively, where \[x\] and \[y\] are in meters and t in seconds. The acceleration of the particle at \[t=2\text{ }s\] is [NEET-2017]

    A) \[-8\,m/{{s}^{2}}\]

    B) 0

    C) \[5\,m/{{s}^{2}}\]

    D) \[-4\,m/{{s}^{2}}\]

    Correct Answer: D

    Solution :

    [d] \[x=5t-2{{t}^{2}}\]                        \[y=10t\]
    \[\frac{dx}{dt}=5-4t\]                \[\frac{dy}{dt}=10\]
    \[{{v}_{x}}=5-4t\]                    \[{{v}_{y}}=10\]
    \[\frac{dv}{dt}x=-4\]                 \[\frac{dv}{dt}y=10\]
    \[{{a}_{x}}=-4\]                       \[{{a}_{y}}=0\] Acceleration of particle at  \[t=2\text{ }s\] is \[~=4\text{ }m/{{s}^{2}}\]


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