A) 5 units
B) 9 units
C) \[5\sqrt{2}\,\,units\]
D) \[9\sqrt{2}\,\,units\]
Correct Answer: C
Solution :
As, \[\operatorname{u}= 2\hat{i} + 3\hat{j}, a = 0.3 \hat{i} + 0.2\,\hat{j}\] and \[\operatorname{t}=10\,s\] So, \[\operatorname{v} = u + at\] \[\Rightarrow \,\,\,\,\,\operatorname{v}=\left( 2\,\hat{i}+2\,\hat{j} \right)\,\,+\,\,\left( 0.3\hat{i}+0.2\hat{j} \right)10\] \[=\,\,\,2\,\hat{i}+3\hat{j}+3\hat{j}+2\hat{j}\] \[=\,\,\,5\hat{i}+5\hat{j}\] \[\left| v \right|\,\,=\,\,\sqrt{{{5}^{2}}+{{5}^{2}}}\] \[=\,\,\,5\sqrt{2}\,\,units\]
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