A man holds an umbrella at `30^@` with the vertical to keep himself dry. He, then, runs at a speed of `10ms^(-1)`, and find the rain drops to be hitting vertically. Study the following statement and find the correct options.
i. Velocity of rain w.r.t. Earth is `20 ms^(-1)`
ii. Velocity of rain w.r.t. man is `10 sqrt(3)ms^(-1)`.
iii. Velocity of rain w.r.t. Earth is `30 ms^(-1)`
iv. Velocity of rain w.r. t. man is `10sqrt(2) ms^(-1)` .

Rain appears to fall vertically to a man walking at 3kmh^(-1) , but when he changes his speed to double, the rain appears to fall at 45^@ with vertical. Study the following statements and find which of them are correct. i. Velocity of rain is 2 (sqrt3) kmh^(-1) . ii. The angle of fall of rain (with vertical) is theta = tan^(-1)(1/(sqrt2)). iii. The angle of fall of rain (with vertical) is theta = sin^(-1) (1/(sqrt2)) . iv. Velocity of rain is 3(sqrt2)kmh^(-1) .

Rain appears to fall vertically to a man walking at 3kmh^(-1) , but when he changes his speed to double, the rain appears to fall at 45^@ with vertical. Study the following statements and find which of them are correct. i. Velocity of rain is 2 (sqrt3) kmh^(-1) . ii. The angle of fall of rain (with vertical) is theta = tan^(-1)(1/(sqrt2)). iii. The angle of fall of rain (with vertical) is theta = sin^(-1) (1/(sqrt2)) . iv. Velocity of rain is 3(sqrt2)kmh^(-1) .

A man is running with a speed of 4 m/s, if he feels that rain drops are hitting him vertically with speed 3 m/s (along unit vector -hatj ) then what can be the velocity of rain:

A person standing on a road has to hold his umbrella at 60^(0) with the verticcal to keep the rain away. He throws the umbrella an starts running at 20 ms^(-1) . He finds that rain drops are hitting his head vertically. Find the speed of the rain drops with respect to (a) the road (b) the moving person.

A person standing on a road has to hold his umbrella at 60^(0) with the verticcal to keep the rain away. He throws the umbrella an starts running at 20 ms^(-1) . He finds that rain drops are hitting his head vertically. Find the speed of the rain drops wigh respect to (a) the road (b) the moving person.

A person is standing on a road with his umbrella open at 30^@ with the vertical to save himself from rain . Then he starts moving at 5 km *h^(-1) . Now the finds that rain drops are hitting his umbrella vertically. Find the speed of rain drops w.r.t(i) the road .(ii) the moving person.

A man standing on a road has to hold his umbrella at 30^(@) with the vertical to keep the rain away. He throws the umbrella and starts running at 10km/hr. He finds that rain drop are hitting his head vertically. Find the speed of rain drops with respect to (a) road (b) the moving man.

A man standing on a road has to hold his umbrella at 30^(@) with the vertical to keep the rain away. He throws the umbrella and starts running at 10km/hr. He finds that rain drop are hitting his head vertically. Find the speed of rain drops with respect to (a) road (b) the moving man.