Chhattisgarh PMT Chhattisgarh PMT Solved Paper-2004

  • question_answer
    For a projectile on the horizontal surface of a planet \[y=8t-5{{t}^{2}}\] m shows height and \[x=8\,t\]m shows the horizontal distance, then the velocity with which the projectile is projected is

    A)  8m/s                                    

    B)  6 m/s

    C)  10 m/s                                

    D)  100 m/s

    Correct Answer: C

    Solution :

    Given, horizontal distance \[x=6t\,m\] vertical distance \[y=8t-5{{t}^{2}}m\] \[\therefore \] Horizontal velocity \[{{v}_{x}}=\frac{dx}{dt}=6m/s\] Vertical velocity \[{{v}_{y}}=\frac{dy}{dt}=8-10t\,m/s\] at                  \[t=0,\] \[{{v}_{y}}=8m/s\] Therefore, resultant velocity                 \[v=\sqrt{v_{x}^{2}+v_{y}^{2}}\]                 \[=\sqrt{{{6}^{2}}+{{8}^{2}}}\]                 \[=10m/s\]


You need to login to perform this action.
You will be redirected in 3 sec spinner