Question

a glass wind screen whose inclination with the vertical can be changed is mounted on a car. the car moves horizontally with a speed of 2m/. at what angle with the vertical should the wind screen be placed so that the raindrops falling vertically downwards with velocity 6m/s strike the wind screen perpendicularly. ​

Answer 1

Answer:

Tan~-1 (3)

Explanation:

Speed of the car moving horizontally = v1 = 2m/s. (Given)

Velocity of drops of the rain falling vertically = v2 = 6m/s. (Given)

Horizontal component of velocity = v2 = v1 Tan Ф

Thus, substituting the values in the equation -  

α = Tan`-1 (v2/v1)

α  = Tan`-1 (6/2)

α = Tan~-1 (3)

Thus, the acute angle made by the above vector with vertical will be tan-1(3)

Hence, the angle at which the vertical should the wind screen be placed so that the raindrops falling vertically downwards with velocity 6m/s strike the wind screen perpendicularly will be Tan~-1 (3).

Answer 2

Answer: tan ^-1 (3)

Explanation:

Hope it helps!