A) \[\frac{1}{5}(13\mathbf{\hat{i}}+14\mathbf{\hat{j}})\]
B) \[\frac{7}{3}(\mathbf{\hat{i}}+\mathbf{\hat{j}})\]
C) \[2(\mathbf{\hat{i}}+\mathbf{\hat{j}}).\]
D) \[\frac{11}{5}(\mathbf{\hat{i}}+\mathbf{\hat{j}})\]
Correct Answer: D
Solution :
Average velocity vector \[{{v}_{av}}=\frac{\text{Net}\,\text{displacement}}{\text{Time}\,\text{taken}}\] \[=\frac{(13-2)\hat{i}+(14-3)\hat{j}}{5}\] \[=\frac{11\text{\hat{i}+11\hat{j}}}{5}=\frac{11}{5}(\hat{i}+\text{\hat{j}})\]
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