Rain-man Problem - Practice Questions & MCQ

Rain is falling vertically at a speed of 35 m/s. Wind started blowing after some time with a speed of 12 m/s in an east-to-west direction. In which direction should a boy waiting at a bus stop hold his umbrella with the vertical?

When a car is at rest, its driver sees raindrops falling on it vertically. When driving the car with speed $v$, he sees that raindrops are coming at an angle of $60^{\circ}$ from the horizontal. On further increasing the speed of the car to $(1+\beta) v$, this angle changes to $45^{\circ}$. The value of $100 \beta$ is close to :

A girl standing on a road hold her umbrella at $45^{\circ}$ with velocity to keep the rain away. If she starts running without umbrella with a speed of $15 \sqrt{2} \mathrm{kmh}^{-1}$, the rain drops hit her head vertically. The speed of rain drops with respect to the moving girl is $\mid$