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
$30^{\circ}$
$60^{\circ}$
$150^{\circ}$
$120^{\circ}$
The speed of a swimmer is $4\,km\,h ^{-1}$ in still water. If the swimmer makes his strokes normal to the flow of river of width $1\,km$, he reaches a point $750 \,m$ down the stream on the opposite bank.The speed of the river water is $.........km h ^{-1}$
Ram moves in east direction at a speed of $6 \,m / s$ and Shyam moves $30^{\circ}$ east of north at a speed of $6 \,m / s$. The magnitude of their relative velocity is ........ $m / s$
FIgure shows a sphere of mass $500\ g$ moving in a steady flow of air in the $x- $ direction. The air-stream exerts an essentially constant force of $0.9\ N$ on the sphere in the $x-$ direction. If at $t = 0$ the sphere is moving a s shown in the figure, determine the time required for the sphere to cross the $y-$ axis again ........ $\sec$
A $2\,m$ wide truck is moving with a uniform speed $v_0=8\,m / s$ along a straight horizontal road. A pedestrain starts to cross the road with a uniform speed $v$ when the truck is $4 m$ away from him. The minimum value of $v$ so that he can cross the road safely is $...........\frac{m}{s}$