A butterfly is flying with a velocity $4 \sqrt{2} \,{m} / {s}$ in North-East direction. Wind is slowly blowing at $1$ ${m} / {s}$ from North to South. The resultant displacement of the butterfly in $3\, seconds$ is $....\,{m}.$
$15$
$122$
$3$
$20$
A boat crosses a river with a velocity of $8\, km/h$. If the resulting velocity of boat is $10 \,km/h $ then the velocity of river water is...........$km/h$
Figure shows two ships moving in $x-y$ plane with velocities $V_A$ and $V_B$. The ships move such that $B$ always remains north of $A$. The ratio $\frac{V_A}{V_B}$ is equal to ........
A swimmer can swim with speed '$v$' with respect to still water in a river which is flowing with speed $u$. There is a float moving with the river. Now the swimmer overtakes float and gets a lead of $l$ and returns back to the float. Time taken by swimmer in this process will be
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?
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 ........ $\sec$