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NEET Sample Paper NEET Sample Test Paper-50

  • question_answer
    A body is projected vertically up with a velocity v and after some time it returns to the point from which it was projected. The average velocity and average speed of the body for the total time of flight are

    A) \[\frac{\overrightarrow{v}}{2}\,\,and\,\,\frac{v}{2}\]                    

    B) \[0\,\,and\,\,\frac{v}{2}\]

    C) 0 and 0            

    D) \[\,\,\,\frac{\overrightarrow{v}}{2}\,\,and\,\,0\]

    Correct Answer: B

    Solution :

    Average velocity = 0 because net displacement of the body is zero. \[Average\,speed\,\,=\,\,\frac{Total\,dis\tan ce\,\,\operatorname{cov}ered}{Time\,\,of\,\,flight}\,=\,\frac{2H{{M}_{\max }}}{2u/g}\]\[\Rightarrow \,\,\,{{v}_{av}}\,=\,\frac{2{{u}^{2}}/2g}{2u/g}\,\,\Rightarrow \,\,{{v}_{av}}\,=\,u/2\] Velocity of projection = v (given) \[\therefore \,\,{{v}_{av}}=v/2\]


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