9th Class Science Time and Motion Question Bank Motion

  • question_answer
    A stone is thrown vertically upward with an initial velocity u from the top of a tower, reaches the ground with a velocity 3u. The height of the tower

    A)  \[\frac{3{{u}^{2}}}{g}\]                

    B)         \[\frac{4{{u}^{2}}}{g}\]  

    C)  \[\frac{6{{u}^{2}}}{g}\]                

    D)         \[\frac{9{{u}^{2}}}{g}\]

    Correct Answer: B

    Solution :

     Let \[h\] be the height of the tower We know,   \[{{v}^{2}}={{u}^{2}}+2as\] \[\therefore \]      \[{{(-3u)}^{2}}={{u}^{2}}+2(-g)(-h)\] \[\Rightarrow \]   \[9{{u}^{2}}={{u}^{2}}+2gh\] \[\Rightarrow \]   \[8{{u}^{2}}=2gh\] \[\Rightarrow \]   \[h=\frac{4{{u}^{2}}}{g}\]


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