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BHU PMT BHU PMT (Screening) Solved Paper-2010

  • question_answer
    A stone is projected from the ground with velocity 50 m/s at an angle of\[30{}^\circ \]. It crosses a wall after 3 s. How far beyond the wall the stone will strike the ground?\[(g=10\text{ }m/{{s}^{2}})\]

    A)  90.2m                                  

    B)  89.6m

    C)  86.6m                                  

    D)  70.2m

    Correct Answer: C

    Solution :

                     Total time of flight \[=\frac{2u\sin \theta }{g}\] \[=\frac{2\times 50\times 1}{2\times 10}=5\,s\] Time to cross the wall\[=3\text{ }s\] (given) Time in air after crossing the wall \[=(5-3)=2\text{ }s\] \[\therefore \] Distance travelled beyond the wall                                 \[=(u\cos \theta )t\]                                 \[=50\times \frac{\sqrt{3}}{2}\times 2\] \[=86.6\text{ }m\]


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