JEE Main & Advanced Physics Two Dimensional Motion Question Bank Self Evaluation Test - Motion in a Plane

  • question_answer
    A cricket ball is hit with a velocity \[25\text{ }m{{s}^{-1}}\], \[60{}^\circ \] above the horizontal. How far above the ground, ball passes over a fielder 50 m from the bat (consider the ball is struck very close to the ground)?
    Take \[\sqrt{3}=\text{1}\text{.7 }\]and  \[\text{g = 10 m}{{\text{s}}^{-2}}\]

    A) 6.8 m   

    B)        7 m  

    C) 5 m 

    D)        10 m

    Correct Answer: C

    Solution :

                [c] \[y=x\tan \theta -\frac{1}{2}\frac{\text{g}{{\text{x}}^{2}}}{{{\text{u}}^{2}}{{\cos }^{2}}\theta }\] \[y=50\tan 60{}^\circ -\frac{10\times 50\times 50}{20\times 25\times 25\times {{\cos }^{2}}60{}^\circ }=5\text{m}\]


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