JEE Main & Advanced Physics Motion in a Straight Line / सरल रेखा में गति Question Bank Self Evaluation Test - Motion in a Strainght Line

  • question_answer
    A bike accelerates from rest at a constant rate \[5\,\,m/{{s}^{2}}\] for some time after which it decelerates at a constant rate \[3\text{ }m/{{s}^{2}}\] to come to rest. If the total time elapsed is 8 second, the maximum velocity acquired by the bike is given by

    A) 5 m/s   

    B) 10 m/s

    C) 12 m/s  

    D) 15 m/s

    Correct Answer: D

    Solution :

    \[{{\text{V}}_{\max }}=0+5{{t}_{1}}\text{         }....\text{(i)}\] \[\text{0=}{{\text{V}}_{\max }}-3{{t}_{2}}\text{          }....\text{(ii)}\] \[\Rightarrow {{t}_{1}}+{{t}_{2}}=8={{V}_{\max }}\left( \frac{1}{5}+\frac{1}{3} \right)\] \[\Rightarrow {{\text{V}}_{\max }}=\frac{8\times 15}{8}=15\text{ m/s}\]


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