Question

A person looking out the window of a stationary train notices that raindrops are falling vertically down at a speed of 3.84 m/s relative to the ground. When the train moves at a constant velocity, the raindrops make an angle of 25° when they move past the window, as the drawing shows. How fast is the train moving?

Answer 1

the train is moving at the speed of v = 1.79 m/s

Step-by-step explanation:

given,

rain drop is falling vertically down with the speed of = 3.84 m/s

angle of the rain drop = 25°

tan θ =
`(v)/(u)`

tan 25° =
`(v)/(3.84)`

v =3.84 × tan 25°

v = 1.79 m/s

hence, the train is moving at the speed of v = 1.79 m/s