A) 7\[\sqrt{2}\]units
B) 7 units
C) 8.5 units
D) 10 units
Correct Answer: A
Solution :
| [a] \[\text{\vec{u}}=3\hat{i}+4\hat{j}\Rightarrow \text{u}x=3\text{ }\,\text{and }\,\text{uy=4}\] |
| \[\text{\vec{a}}=0.4\hat{i}+0.3\hat{j}\Rightarrow \text{a}x=0.4\text{ }\,\text{and }\,\text{ay}=0.3\] |
| \[\text{So, }{{\text{V}}_{x}}=ux+{{a}_{x}}t=3+0.4\times 10=3+4=7\]. |
| \[{{\text{V}}_{y}}=\text{uy+}{{\text{a}}_{y}}t=4+0.3\times 10=4+3=7\] |
| \[\text{\vec{V}}=7\hat{i}+7\hat{j}\]\[\Rightarrow \,|\vec{V}|\,=\sqrt{{{7}^{2}}+{{7}^{2}}}=7\sqrt{2}\text{ units}\] |
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