Rain-man Problem MCQ - Practice Questions with Answers

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?

A man walking with a speed of 4 km/hr finds the rain drops falling vertically downwards.when the man increases his speed to 8 km/hr he finds that the raindrops are falling making an angle of 30 degrees with the vertical. find the speed of the rain drops

For a man running horizontally along east at speed of 4 km/hr, the rain appears to fall vertically. If he doubles his speed the rain appears to hit him at an angle at 30° with vertical. The original speed and direction of rain will be

Raindrops are falling vertically when no wind is blowing. Now when a wind is blowing horizontally at the speed of $5 \mathrm{~m} / \mathrm{s}$, raindrops are observed to be striking the ground at an angle $\Theta$ with the vertical. The speed of the raindrops is -

When a women standing on the road kept her umbrella at $30^{\circ}$ with the vertical. To keep Rain away. If She starts Running without umbrella with speed $\sqrt{3} \mathrm{~km} / \mathrm{hr}$. During This Rain Hit her head vertically: The speed of Raindrop with respect to moving women is ____.