Home
Class 12
PHYSICS
Rain is falling vertically and a man...

Rain is falling vertically and a man is moving with velocity 6m/s find the angle with which umbrella should be held by man to avoid getting wet .

Text Solution

Verified by Experts

` vecV_("rain") =- 10 hatj`
` vecV_("man") = 6 hatj`
` vecV_("r.w.t main ") =- 10hatj - 6 hatj `
` tan theta = (6)/( 10 )`
` theta = tan^(-1) ""((3)/( 5))`
where ` theta ` is angle with vertical .
` (##AKS_AI_PHY_V01_P1_C03_SLV_041_S01.png" width="80%">
Promotional Banner

Topper's Solved these Questions

  • ELEMENTS OF VECTORS

    AAKASH SERIES|Exercise LONG ANSWER TYPE QUESTIONS|5 Videos

  • ELEMENTS OF VECTORS

    AAKASH SERIES|Exercise SHORT ANSWER TYPE QUESTIONS|10 Videos

  • ELECTROSTATICS

    AAKASH SERIES|Exercise ADDITIONAL PRACTICE EXERCISE (PRACTICE SHEET (ADVANCED) INTEGER TYPE QUESTIONS)|5 Videos

  • GEOMETRICAL OPTICS

    AAKASH SERIES|Exercise ADDITIONAL PRACTICE EXERCISE (LEVEL-II PRACTICE SHEET (ADVANCED) INTEGER TYPE QUESTIONS)|10 Videos

Similar Questions

Explore conceptually related problems

Rain is falling vertically with velocity 10m /s and a man is moving with velocity 6 m s^-1 . Find the angle at which the man should hold his umbrella to above getting wet.

Rain is falling vertically downward with velocity 4m//s. A man is moving horizontally with velocity 3 m//s , the velocity of rain with respect to man is

It is raining at a speed of 5 ms^(-1) at an angle 37^@ to vertical, towards east. A man is moving to west with a velocity of 5 ms^(-1) . The angle with the vertical at which he has to hold the umbrella to protect himself from rain is

A man is walking with 3 m//s, due east. Rain is falling vetically downwards with speed 4 m//s. Find the direction in which man should hold his umbrella, so that rain does not wet him.

Rain is falling vertically downwards with a velocity of 2m//s. A person is runing to the North with a velocity of 2sqrt(3) m/s. Find out the velocity and direction of rain as appeared to the person.

Rain is falling vertically with a velocity of 3 kmh^-1 . A man walks in the rain with a velocity of 4 kmh^-1 . The rain drops will fall on the man with a velocity of

Rain is falling vertically with a velocity of 3 kmh^-1 . A man walks in the rain with a velocity of 4 kmh^-1 . The rain drops will fall on the man with a velocity of

A man standing on a inclined plain observes rain is falling vertically. When he starts moving down the inclined plain with velocity v=6m//s observes rain hitting him horizontally. The velocity of rain with respect to the man when he is moving down is

A man is moving due east with a speed 1 km/hr and rain is falling vertically with a speed sqrt(3) km/hr. At what angle from vertical the man has to hold his umbrella to keep the rain away. Also find the speed of rain drops w.r.t. man.

A boy is running on a horizontal road with a velocity of 5 m/s. At what angle should he hold his umbrella in order to protect him self from the rain if the rain is falling vertically with a velocity of 10 m/s?