Question

122 A particle is projected such that it touches the four vertices of a regular
hexagon of side a symmetrically placed w.rt the path of projectile. Find its
horizontal range.​

Answer 1

answer: 2a, where a is side Length of regular hexagon.

A particle is projected such that it touches the four vertices of a regular

hexagon of side a symmetrically placed w.rt the path of projectile. we have to find horizontal range.

do you know about horizontal range, it is nothing but distance covered by particle along horizontal direction.

see diagram, it is clear that horizontal distance = 2 × radius of circle

if side Length of regular hexagon is a.

then, radius of circle must be a.

Hence, horizontal range = 2a