the vel of d string gets transfered to d bug since its in contact wit the string.. when it acquires vel greater than that of the string the bug reaches the other end.. if ma answer is silly plz don mistake...
An infinitely stretchable rubber band has one end nailed to a wall, while the other end is pulled away from the wall at the rate of 1 m/s; initially the band is 1 meter long. A bug on the rubber band, initially near the wall end, is crawling toward the other end at the rate of 0.001 cm/s. Will the bug ever reach the other end? If so, when?
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14 Answers
your reasoning is correct
but the bug will not be able to acquire the velocity greater than that of the string
there will be some modification to that stament and u have to explain why
and yes t=0 is indeed a solution
therefore bug reaches wall at t=0(ie its alredy there)
note that if
dist from wall is 0 expansion vel is also 0
therefore bug reaches wall as soon as it starts
here i assumed d=0 though its not really
I 'think' the dist of the bug from the wall at any sec is
dt = (.001+dt-1)*(t+1)/t cm.
rohan uve edited ur q :(
first u told that the direction of bug is opposite to one shown in pic
so i was calc time to reach the wall
and skygirls ans is right
even im gettin it