A bus appears to go with a speed of $25 \,km / hr$ to a car driver, driving at the rate $7 \,km / hr$ northwards. If the bus actually travels in east direction, its speed is ......... $km / h$
$24$
$23$
$26$
$30$
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 bomb is dropped by fighter plane flying horizontally. To an observer sitting in the plane, the trajectory of the bomb is a :
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 boat crossing a river moves with a velocity $v$ relative to still water. The river is flowing with a velocity $v / 2$ with respect to the bank. The angle with respect to the flow direction with which the boat should move to minimize the drift is