A particle falls from a height h on a fixed horizontal plate and rebounds. If e is the coefficient of restitution, the total distance travelled by the particle before it stops rebounding is

A particle falls from a height h on a fixed horizontal plate and rebou

1.	A particle falls from a height h on a fixed horizontal plate and rebounds. If e is the coefficient of restitution, the total distance travelled by the particle before it stops rebounding is
Answer» `(H(1 + e^2))/((1 - e^2))` `(h(1 - e^2))/((1 + e^2))` `(h(1 - e^2))/(2(1 + e^2))` `(h(1 + e^2))/(2(1 - e^2))` Solution :The total distance TRAVELLED is `S = h + 2e^2 h + 2e^4 h + 2e^6h + ……` `= h + 2H (e^2 + e^4 + e^6 + ….)` `= h + 2h ((e^2)/(1 - e^2)) = h[1 + (2e^2)/(1 - e^2)] = (h(1 + e^2))/((1 - e^2))`