9th Class Science Time and Motion Question Bank Motion

  • question_answer
    A grasshopper can jump a maximum horizontal distance of 0.2 m. If he spends negligible time on ground, with what speed can he travel along the road?

    A)  1 m/s                     

    B)         2 m/s

    C)  3 m/s                   

    D)         4 m/s

    Correct Answer: A

    Solution :

                \[{{R}_{\max }}=\frac{{{u}^{2}}}{g}\] \[\Rightarrow \]   \[0.2=\frac{{{u}^{2}}}{9.8}\] \[\Rightarrow \]     \[u=1.4\,\,m/\sec \] Horizontal component of velocity of the grasshopper along the road \[u\cos =1.4\cos {{45}^{o}}\]   \[=1.4\times \frac{1}{\sqrt{2}}=\mathbf{1}\,\,\mathbf{m/sec}\]


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