A) 500 m
B) 300 m
C) 150 m
D) 100 m
Correct Answer: A
Solution :
\[\vec{r}=3{{t}^{2}}\hat{i}+4{{t}^{2}}\hat{j}+7\hat{k}\] at \[t=0\], \[{{\vec{r}}_{1}}=7\hat{k}\] at \[t=10\sec \], \[{{\vec{r}}_{2}}=300\hat{i}+400\hat{j}+7\hat{k}\], \[\overrightarrow{\Delta r}={{\vec{r}}_{2}}-{{\vec{r}}_{1}}=300\hat{i}+400\hat{j}\] \[|\overrightarrow{\Delta r}|\,=\,|{{\vec{r}}_{2}}-{{\vec{r}}_{1}}|\,=\sqrt{{{(300)}^{2}}+{{(400)}^{2}}}=500m\]
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