A swimmer can swim with velocity of $12 \,km / h$ in still water. Water flowing in a river has velocity $6\, km / h$. The direction with respect to the direction of flow of river water he should swim in order to reach the point on the other bank just opposite to his starting point is ........$^{\circ}$. (Round off to the Nearest Integer) (find the angle in degree)

A man is crossing a river flowing with velocity of $5\, m/s$. He reaches a point directly across at a distance of $60\, m$ in $5\, sec$. His velocity in still water should be........$m/s$

A boat is moving with velocity of $3\hat i + 4\hat j$ in river and water is moving with a velocity of $ - 3\hat i - 4\hat j$ with respect to ground. Relative velocity of boat with respect to water is :

A man is running at a speed of $5\, m/s$, the rain drops appear to be falling at an angle of $45^o$ from the vertical. If the rain drops are actually falling vertically downwards, then velocity of rain drops (in $m/s$) is

A girl standing at point $P$ on a beach wishes to reach a point $Q$ in the sea as quickly as possible. She can run at $6 \,kmh ^{-1}$ on the beach and swim at $4 \,kmh ^{-1}$ in the sea. She should take the path

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