Problem

A particle is released from a certain height

H = 400 \text{ m}

. Due to the wind, the particle gathers the horizontal velocity component

v_x = ay

where

a = \sqrt{5} \text{ s}^{-1}

and

y

is the vertical displacement of the particle from the point of release, then find (Take

g = 10 \text{ m/s}^2

) a. the horizontal drift of the particle when it strikes the ground, b. the speed with which particle strikes the ground.