NEET Sample Paper NEET Sample Test Paper-50

  • question_answer The engine of a motorcycle can produce a maximum acceleration\[5\text{ }m/{{s}^{2}}\]. Its brakes can produce a maximum retardation\[10\text{ }m/{{s}^{2}}\]. What is the minimum time in which it can cover a distance of 1.5 km?

    A) 30 sec

    B)              15 sec

    C) 10 sec              

    D) 5 sec

    Correct Answer: A

    Solution :

    If a body starts from rest with acceleration a and then retards with retardation P and comes to rest. The total time taken for this journey is t and distance covered is S then \[S=\frac{1}{2}\frac{\alpha \beta {{t}^{2}}}{(\alpha +\beta )}\,\,=\,\,\frac{1}{2}\frac{5\times 10}{(5+10)}\,\times \,\,{{t}^{2}}\] \[\Rightarrow \,\,1500\,\,=\,\,\frac{1}{2}\frac{5\times 10}{(5+10)}\,\times \,\,{{t}^{2}}\] \[t\,\,=\,\,30\,sec\]


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