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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 : |
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Answer» `h((1+e^2)/(1-e^2))` `S=h+2e^2h+2e^4h+2e^6h+` or`S=h+2e^2h[1+e^2+e^4+e^6+…]` This GIVES infinite G.P. with common ratio `e^2`. `S=h+2e^h[(1)/(1-e^2)]=h[1+(2e^2)/(1-e^2)]` =`h[(1+e^2)/(1-e^2)]`. |
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