JEE Main & Advanced Physics Motion in a Straight Line / सरल रेखा में गति Question Bank Non-uniform Motion

  • question_answer
    The \[x\] and \[y\] coordinates of a particle at any time \[t\] are given by \[x=7t+4{{t}^{2}}\] and \[y=5t\],  where \[x\] and \[y\] are in metre and \[t\]  in seconds. The acceleration of particle at \[t=5\]s is                                [SCRA 1996]

    A)             Zero    

    B)             \[8\,\,m/{{s}^{2}}\]

    C)             20 \[m/{{s}^{2}}\]  

    D)             40 \[m/{{s}^{2}}\]

    Correct Answer: B

    Solution :

                    \[a=\sqrt{a_{x}^{2}+a_{y}^{2}}\] \[={{\left[ {{\left( \frac{{{d}^{2}}x}{d{{t}^{2}}} \right)}^{2}}+{{\left( \frac{{{d}^{2}}y}{d{{t}^{2}}} \right)}^{2}} \right]}^{\frac{1}{2}}}\]                  Here\[\frac{{{d}^{2}}y}{d{{t}^{2}}}=0\]. Hence \[a=\frac{{{d}^{2}}x}{d{{t}^{2}}}=8m/{{s}^{2}}\]


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