A particle falls from a height h upon a fixed horizontal plane and rebounds. If e is the coefficient of restitution, the total distance travelled before rebounding has stopped is

Particle falls from height h then formula for height covered by it in nth rebound is given by                                hn=he2nwhere e = coefficient of restitution, n = No. of reboundTotal distance travelled by particle before rebounding has stoppedH=h+2h1+2h2+2h3+2hn+........=h+2he2+2he4+2he6+2he8+.........=h+2h(e2+e4+e6+e8+.......)=h+2he21−e2=h 1+2e21−e2=h 1+e21−e2