NEET Sample Paper NEET Sample Test Paper-66

  • question_answer
    A bus is moving with a speed of \[10\text{ }m{{s}^{-}}^{1}\] on a straight road. A scooterist wishes to overtake the bus in 100 s. If the bus is at a distance of 1 km from the scooterist, with what speed should the scooterist chase the bus?

    A) \[20\,\,m{{s}^{-}}^{1}\]                    

    B) \[40\,\,m{{s}^{-}}^{1}\]

    C) \[25\,\,m{{s}^{-}}^{1}\]                    

    D) \[10\,\,m{{s}^{-}}^{1}\]

    Correct Answer: A

    Solution :

    The relative velocity of scooter w.r.t. bus, \[\overrightarrow{{{\nu }_{S,B}}}\,=\,\,\overrightarrow{{{\nu }_{S}}}\,\,-\,\,\overrightarrow{{{\nu }_{B}}}\,=\,\,\overrightarrow{{{\nu }_{S}}}\,\,-10\]                                ? (i) \[\operatorname{Re}lative\,\,velocity\,\,=\,\,\frac{\operatorname{Re}lative\,\,displacement}{time}\] \[{{\nu }_{S}}-10=\frac{1000}{100}=10\,\,\,\,\,\Rightarrow \,\,\,\,{{\nu }_{S}}=20\,\,m/s\]


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