Import Question JSON

$\text{A man is sitting in a bus and travelling from west to east, and the rain drops are appears falling vertically down.}$ $\text{Let us define the variables:}$ $v_m = \text{velocity of man}$ $v_r = \text{Actual velocity of rain which is falling at an angle } \theta \text{ with vertical}$ $v_{rm} = \text{velocity of rain w.r.t. to moving man}$ $\text{From the vector diagram, we can see that the man in the bus observes rain falling vertically because the horizontal component of rain velocity equals the bus velocity.}$ $\text{However, if another man observes the rain from the ground, he will find that rain is actually falling with velocity } v_r \text{ at an angle going from west to east.}$ $\text{This is because the stationary observer sees the true motion of raindrops, which includes both vertical and horizontal components.}$ $\text{The horizontal component of rain velocity is in the same direction as the bus motion (west to east).}$