A) \[\frac{13\hat{i}+14\hat{j}}{4}\]
B) \[\frac{7}{3}\left( \hat{i}+\hat{j} \right)\]
C) \[2\left( \hat{i}+\hat{j} \right)\]
D) \[\frac{11}{5}\left( \hat{i}+\hat{j} \right)\]
Correct Answer: D
Solution :
\[{{\operatorname{S}}_{1}}=2\hat{i}+3\hat{j}\,\,\,\,\,at\,\,\,t=0\] \[{{\operatorname{S}}_{2}}=6\hat{i}+7\hat{j}\,\,\,\,\,at\,\,\,t=2sec\] \[\operatorname{Average} velocity=\frac{{{S}_{3}}-{{S}_{1}}}{{{\operatorname{t}}_{\left( 5 \right)}}-{{t}_{\left( 0 \right)}}}\] \[=\frac{13\hat{i}+14\hat{j}-\left( 2\hat{i}+3\hat{j} \right)}{5-0}=\frac{11\hat{i}+11\hat{j}}{5}\]
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