A) velocity of swimmer w.r.t ground is \[\surd 13\,\,m\text{/}s\]
B) drift of swimmer along river is zero
C) drift of swimmer along river will be 50 m
D) velocity of swimmer w.r.t ground is 2 m/s
Correct Answer: A
Solution :
[a] \[{{\vec{v}}_{SB}}=v\,\hat{j}={{\vec{v}}_{ & s}}+3\,\hat{i}\text{ }\] \[{{\vec{v}}_{S}}=v\hat{j}-3\,\hat{i}\text{ and }v=\frac{100}{50}=2\text{ }m/s\] \[\therefore \text{ }\!\!|\!\!\text{ }{{\text{\vec{v}}}_{s}}\text{ }\!\!|\!\!\text{ =}\sqrt{{{\text{v}}^{2}}+{{\left( 3 \right)}^{2}}}=\sqrt{{{2}^{2}}+9}=\sqrt{13}\text{ m/s}\] \[\text{Drift = 50}\times \text{3=150 m}\]
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