Suppose that a slug moves along a 1 meter elastic band and, after each minute, t

Question

Suppose that a slug moves along a 1 meter elastic band and,
after each minute, the elastic band is uniformly stretched by 1 additional
meter. If the slug moves 1 centimeter per minute, (i) will the slug ever reach
the end of the elastic band, and (2) if so, how many minutes will it take?
Hint: To solve this problem, rst nd the ratio of the distance travelled by
the slug to the total length of the elastic band each minute. Try to evaluate
the sum of these terms on a computer; how important is roundo error? (It
will be very dicult to accurately compute the sum!)

Explanation / Answer

1 meter = 100 cm for every minute, slug move 1 cm and elastic band stretched by 1 meter. after first minute, 1 : 100+100-1 1: 199 therefore after x minute, snail move : distance left x : 100 + 100x -x therefore, the slug will never reach the end.

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