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 ft then formula for height covered by it in nth rebound is given byhn = he2nwhere e = coefficient of restitution, n = No. of rebound Total distance travelled by particle before rebounding  has stopped: H=h+2h1+2h2+2h3+2hn+……=h+2he2+2he4+2he6+2he8+……=h+2he2+e4+e6+e8+……=h+2he21−e2=h1+2e21−e2=h1+e21−e2