A ball falls from a height of 1 m,hits the ground and rebounds with half its velocity just before impact ,Then after raising it falls and hits the ground and again rebounds with half its velocity just before impact and so on .The total distance traveled by ball till it comes to rest is ______

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mrnood · Answer

|dw:1445435260579:dw| This is more a maths problem than physics the first fall is 1m the first bounce up is 0.5 the sacond fal is 0.5 then 0.25 etc so total is 1 + 2(0.5+0.25+0.125+..........) the term in the brackets is the sum of an arithmetic sequence... https://en.wikipedia.org/wiki/1/2_%2B_1/4_%2B_1/8_%2B_1/16_%2B_%E2%8B%AF