JEE Main & Advanced AIEEE Solved Paper-2013

  • question_answer
    A Projectile is given an initial velocity of\[(\hat{i}+2\hat{j})m/s\]+ where\[\hat{i}\]is along the ground and \[\hat{j}\]is along the vertical. If\[g=10\text{ }m/{{s}^{2}},\]the equation of its trajectory is :     AIEEE Solevd Paper-2013

    A) \[y=x-5{{x}^{2}}\]

    B) \[y=2x-5{{x}^{2}}\]

    C) \[4y=2x-5{{x}^{2}}\]

    D) \[4y=2x-25{{x}^{2}}\]

    Correct Answer: B

    Solution :

    \[u=\sqrt{{{2}^{2}}+{{1}^{2}}}=\sqrt{5}\] \[\theta =ta{{n}^{-1}}2\] Equation: \[y=x\text{ }tan\text{ }\theta -\frac{g{{x}^{2}}}{2{{u}^{2}}{{\cos }^{2}}\theta }\] \[y=2x-\frac{10{{x}^{2}}}{2\times 5\times \frac{1}{5}}\] \[y=2x-5{{x}^{2}}\]


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