Mathematics

Mathematics

Problem

A ball is dropped from a height of hh meters and rebounds to 60\% of its previous height after every collision with the ground. Which of the following infinite series correctly represents the total vertical distance the ball travels? a) 2h+2h(0.6)+2h(0.6)2+2h(0.6)3+…2h + 2h(0.6) + 2h(0.6)^2 + 2h(0.6)^3 + \dots b) h+h(0.6)+h(0.6)2+h(0.6)3+…h + h(0.6) + h(0.6)^2 + h(0.6)^3 + \dots c) h+2h(0.6)+2h(0.6)2+2h(0.6)3+…h + 2h(0.6) + 2h(0.6)^2 + 2h(0.6)^3 + \dots d) h+2h(0.4)+2h(0.4)2+2h(0.4)3+…h + 2h(0.4) + 2h(0.4)^2 + 2h(0.4)^3 + \dots

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