Physics

Problem

Two particles are separated by horizontal distance

x

and vertical distance

y

. Particle

A

is projected from the lower position with velocity

v_{A}

towards the upper particle

B

. Particle

B

is simultaneously projected horizontally with velocity

v_{B}

towards the vertical line passing through

A

. What is minimum distance between the particles in terms of

x

y

v_{A}

v_{B}

and

g

? (

g

is the acceleration due to gravity)