JEE Main & Advanced Physics Motion in a Straight Line / सरल रेखा में गति Question Bank Motion Under Gravity

  • question_answer
    A body falling for 2 seconds covers a distance \[S\] equal to that covered in next second. Taking \[g=10\,m/{{s}^{2}},\,S=\]              [EAMCET (Engg.) 1995]

    A)             30 m

    B)             10 m

    C)             60 m   

    D)             20 m

    Correct Answer: A

    Solution :

                    If u  is the initial velocity then distance covered by it in 2 sec             \[S=ut+\frac{1}{2}a{{t}^{2}}=u\times 2+\frac{1}{2}\times 10\times 4=2u+20\]       ?(i)             Now distance covered by it in 3rd sec             \[{{S}_{{{3}^{rd}}}}=u+\frac{g}{2}\left( 2\times 3-1 \right)10=u+25\]                         ?(ii)             From(i) and (ii), \[2u+20=u+25\Rightarrow u=5\]             \[\therefore \]\[S=2\times 5+20=30\ m\]       


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