A stationary man observes that the rain is falling vertically downward. When he starts running with a velocity of  $12\,\,km/h$ he observes that the rains is falling at an angle $60^o$ with the vertical. The actual velocity of rain is

$Assertion$ : The magnitude of velocity of two boats relative to river is same. Both boats start simultaneously from same point on one bank may reach opposite bank simultaneously moving along different paths.
$Reason$ : For boats to cross the river in same time. The component of their velocity relative to river in direction normal to flow should be same.

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

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 car with a vertical windshield moves in a rain storm at a speed of $40 \,km / hr$. The rain drops fall vertically with constant speed of $20 \,m / s$. The angle at which rain drops strike the windshield is .........

A man standing on a road hold his umbrella at $30^° $ with the vertical to keep the rain away. He throws the umbrella and starts running at $10\, km/hr$. He finds that raindrops are hitting his head vertically, the speed of raindrops with respect to the road will be......... $km/hr$