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 ........ $m / s$
$3$
$6$
$6 \sqrt{3}$
$6 \sqrt{2}$
A glass wind screen whose inclination with the vertical can be changed is mounted on a car. The car moves horizontally with a speed of $2\,\,m/s$. At what angle $\alpha$ with the vertical should the wind screen be placed so that the rain drops falling vertically downwards with velocity $6\,\, m/s$ strike the wind screen perpendicularly.
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 person aiming to reach the exactly opposite point on the bank of a stream is swimming with a speed of $0.5\, m/s$ at an angle of $120^°$ with the direction of flow of water. The speed of water in the stream is..........$m/s$
A particle is moving such that its position coordinates $(x, y)$ are
$(2\, m, 3 \,m)$ at time $t = 0$
$(6\,m,7\,m) ,$ at time $ t=2 \,s$ and
$ (13\,m,14\,m),$ at $ t=5\,s$.
Average velocity vector $\vec v_{av}$ from $ t=0$ to $t= 5 $ is
In a harbour, wind is blowing at the speed of $72\; km/h$ and the flag on the mast of a boat anchored in the harbour flutters along the $N-E$ direction. If the boat starts moving at a speed of $51\; km/h$ to the north, what is the direction of the flag on the mast of the boat ?