Question

A man moves on a horizontal road towards east at a speed of 1 km/h and the rain appears to him vertical at a speed of 2 km/h. the actual speed of the rain (in km/h) is

Answer 1

Answer: answer is √5 .

Explanation: please see the following attachment

Answer 2

Hello Dear,

◆ Answer -

|vr| = √5 km/hr

◆ Explaination -

# Given -

|vm| = 1 km/hr

|vrm| = 2 km/hr

# Solution -

Relative velocity of rain w.r.t. man is -

vrm = vr - vm

vr = vrm + vm

In terms of magnitude,

|vr| = √(|vrm|² + |vr|²)

|vr| = √(2² + 1²)

|vr| = √(4 + 1)

|vr| = √5 km/hr

Therefore, actual speed of the rain must be √5 km/hr.

Thanks dear...