JEE Main & Advanced Physics Motion in a Straight Line / सरल रेखा में गति Question Bank Distance and Displacement

  • question_answer
    A Body moves 6 m north. 8 m east and 10m vertically upwards, what is its resultant displacement from initial position                                                                                                            [DCE 2000]

    A)             \[10\sqrt{2}m\]

    B)                      \[10m\]

    C)             \[\frac{10}{\sqrt{2}}m\]        

    D)             \[10\times 2m\]

    Correct Answer: A

    Solution :

        \[\vec{r}=x\hat{i}+y\hat{j}+z\hat{k}\]  \[\therefore \]\[r=\sqrt{{{x}^{2}}+{{y}^{2}}+{{z}^{2}}}\]  r\[=\sqrt{{{6}^{2}}+{{8}^{2}}+{{10}^{2}}}=10\sqrt{2}\ m\]


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