A swimmer swims in still water at a speed = 5 | vedclass

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Question

$V_{S R}=$ Velocity of swimmer $w.r.t$ river$=5km/hr$

$V_{R}=$ Velocity of river $w.r.t$ ground

$V_{S}=$ Velocity of swimmer $w.r.t$ ground

$

Vedclass · Accepted Answer

$4 $

Vedclass · Answer

$V_{S R}=$ Velocity of swimmer $w.r.t$ river$=5km/hr$

$V_{R}=$ Velocity of river $w.r.t$ ground

$V_{S}=$ Velocity of swimmer $w.r.t$ ground

$V_{S}=V_{S R}+V_{R}$

$V_{S}=\left(V_{R}-V_{S R} \sin 37^{0}ight) \hat{i}+V_{S R} \cos 37^{0} \hat{j}$

Displacement along $x$ $-axis$ $=$ $d=\left(V_{R}-V_{S R} \sin 37^{0}ight)(0.05)$

$=\left[4-5\left(\frac{3}{5}ight)ight](0.05)$

$=0.05 \mathrm{km}$

$=50 \mathrm{m}$

Total time $=\frac{50 	imes 10^{-3} \mathrm{km}}{3 \mathrm{km}/hr}+0.05 \mathrm{hr}$

$=\frac{0.05}{3}+0.05=\frac{0.20}{3}=0.0666 \mathrm{hr}$

$=4 \mathrm{min}$

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