NEET Sample Paper NEET Sample Test Paper-67

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

    A) 90.2 m             

    B) 89.6 m

    C) 86.6 m             

    D) 70.2 m

    Correct Answer: C

    Solution :

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


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