9th Class Science Time and Motion Question Bank Motion Conceptive Subjective Problems

  • question_answer
    A bullet shot with a velocity of 16 m/s penetrates a tree trunk and come to rest in 0.4m. In what time does it comes to rest?

    Answer:

    \[u=16m/s\,\,v=0\] \[S=0.4m\,\,t=?\] We know that, \[t=\frac{v-a}{a}\]                            ….(1) Let’s find the same. Retardation of the bullet, \[a=\frac{{{v}^{2}}-{{u}^{2}}}{2s}\] \[=\frac{0-{{(16)}^{2}}}{2\times 0.4}=\frac{-256}{0.8}=\frac{-2560}{8}=-320m/{{s}^{2}}\] \[\therefore t=\frac{v-u}{a}=\frac{0-16}{-320}=\frac{1}{20}=0.05\,\,\sec onds.\]


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