NEET Sample Paper NEET Sample Test Paper-15

  • question_answer A projectile is given an initial velocity of \[\hat{i}+2\hat{j}.\] The Cartesian equation of its path is: (\[g=10\,m/{{s}^{2}}\])

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

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

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

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

    Correct Answer: A

    Solution :

    \[\tan \theta =\frac{u\sin \theta }{u\cos \theta }=\frac{2}{1}\] The desired equation is \[y=x\tan \theta -\frac{g{{x}^{2}}}{2{{u}^{2}}{{\cos }^{2}}\theta }\]of \[y=2x-\frac{10{{x}^{2}}}{2{{(\sqrt{{{2}^{2}}+{{1}^{1}}})}^{2}}{{\left( \frac{1}{\sqrt{5}} \right)}^{2}}}\]or \[y=2x-5{{x}^{2}}\] Hence, the correction option is [a].


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