“How to solve rain and man problems from motion in one dimension?”
The problem is solved using principles of vector addition.
There is a simple logic to remember
A/C = A/B x B/C
If we represent diagrammatically (in the form of vectors) the velocity of rain wrt ground, velocity of man wrt ground and velocity of rain wrt man, then we can write
Vr/m = V r/g + Vg/m = V r/g – Vm/g = V r/g + (- Vm/g)
Where (- Vm/g) is the negative vector of Vg/m
I will be adding illustrations soon.