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1. after striking the floor ,a ball rebounds 80% of the height from which it has fallen. find the total distance that it travels before coming to rest if it is dropped from a height of 120 cm.
Dear sougata
Total distance travel by ball is
S = 120 + 2*120*.8 + 2*120*(.8)2 + 2*120(.8)3 +.................∞
i have multiplied by 2 because ball travells two time first when ball move from flour to vertically upward and second when it come back to flour.
S = 120 + 2*120*.8[ 1 + .8 + (.8)2+......∞] in bracket we have infinite geometric progression
=120 + 192[ 1/(1-0.8)]
=120 + 192[5]
=1080 cm
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