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 w.r.t. the moving man, will be
$10/\sqrt 2 \,km/h$
$5\, km/h$
$10\sqrt 3 \,km/h$
$5/\sqrt 3 \,km/h$
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 man sitting in a bus travelling in a direction from west to east with a speed of $40 \,km/h $observes that the rain-drops are falling vertically down. To the another man standing on ground the rain will appear
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......... $km/hr$
A man can swim with velocity $v$ relative to water. He has to cross a river of width $d $ flowing with a velocity $u (u > v)$. The distance through which he is carried down stream by the river is $x$. Which of the following statement is correct
Two cars are moving in the same direction with the same speed $30 \,km/hr$. They are separated by a distance of $5\, km$, the speed of a car moving in the opposite direction if it meets these two cars at an interval of $4$ minutes, will be.......$km/hr$