The stream of a river is flowing with a speed of $2\,km/h.$ A swimmer can swim at a speed of $4\,km/h.$ ....... $^o$ should be the direction of the swimmer with respect to the flow of the river to cross the river straight .
$60$
$90$
$120$
$150$
A swimmer wants to cross a river from point $A$ to point $B$. Line $A B$ makes an angle of $30^{\circ}$ with the flow of river. Magnitude of velocity of the swimmer is same as that of the river. The angle $\theta$ with the line ${AB}$ should be $^{\circ}$, so that the swimmer reaches point ${B}$.
A boat crossing a river moves with a velocity $v$ relative to still water. The river is flowing with a velocity $v / 2$ with respect to the bank. The angle with respect to the flow direction with which the boat should move to minimize the drift is
A ship $A$ is moving Westwards with a speed of $10\, km h^{-1}$ and a ship $B$ $100\;km$ South of $A$, is moving Northwards with a speed of $10\, km h^{-1}$ .The time after which the distance between them becomes shortest, is ........ $hr$
Two particles $A$ and $B$ start moving with velocities $20 \,m / s$ and $30 \sqrt{2} \,m / s$ along $x$-axis and at an angle $45^{\circ}$ with $x$-axis respectively in $x y$-plane from origin. The relative velocity of $B$ w.r.t. $A$ is ........... $m / s$
A boat covers certain distance between two spots in a river taking $t_1$ hrs going downstream and $t_2$ hrs going upstream. What time will be taken by boat to cover same distance in still water?