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

  • question_answer
    A body starts from rest from the origin with an acceleration of \[6\,m/{{s}^{2}}\] along the x-axis and \[8\,m/{{s}^{2}}\] along the y-axis. Its distance from the origin after 4 seconds will be     [MP PMT 1999]

    A)             56 m   

    B)             64 m

    C)             80 m

    D)             128 m

    Correct Answer: C

    Solution :

                    \[{{S}_{x}}={{u}_{x}}t+\frac{1}{2}{{a}_{x}}{{t}^{2}}\Rightarrow {{S}_{x}}=\frac{1}{2}\times 6\times 16=48\ m\]             \[{{S}_{y}}={{u}_{y}}t+\frac{1}{2}{{a}_{y}}{{t}^{2}}\Rightarrow {{S}_{y}}=\frac{1}{2}\times 8\times 16=64\ m\]             \[S=\sqrt{S_{x}^{2}+S_{y}^{2}}=80m\]         


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