math
posted by tango
The tail of a giant kangaroo is attached by a giant rubber band to a stake in the ground. A
flea is sitting on top of the stake eyeing the kangaroo (hungrily). The kangaroo sees the flea
leaps into the air and lands one mile from the stake (with its tail still attached to the stake by
the rubber band). The flea does not give up the chase but leaps into the air and lands on the
stretched rubber band one inch from the stake. The giant kangaroo, seeing this, again leaps
into the air and lands another mile from the stake (i.e., a total of two miles from the stake).
The flea is undaunted and leaps into the air again, landing on the rubber band one inch further
along. Once again the giant kangaroo jumps another mile. The flea again leaps bravely into
the air and lands another inch along the rubber band. If this continues indefinitely, will the flea
ever catch the kangaroo? (Assume the earth is flat and continues indefinitely in all directions.)

Brian
ok this one is PHUN
after the flea jumps on the rubberband, everytime the rubberband stretches the flea gets pulled along, as a rubberband stretches, part of it moves towards the object stretching it
Thus each time the roo jumps the flea is pulled along a little bit... Thus after it jumps, it really has moved an amount of the stretch plus the one inch
So yes it will catch the kangaroo after a long time because it will move the flea a little bit each time it jumps closer towards it, plus the one inch
SOLVED 
Promys
It's not so fair to ask promys questions on here, now is it...
Respond to this Question
Similar Questions

math
The triangular numbers are the numbers 1, 3, 6, 10, 15, . . .; the square numbers are the numbers 1, 4, 9, 16, 25, . . . The pentagonal numbers 1, 5, 12, 22, 35, . . .. The geometrical language is justified by the following diagrams: … 
MATH
The tail of a giant kangaroo is attached by a giant rubber band to a stake in the ground. A flea is sitting on top of the stake eyeing the kangaroo (hungrily). The kangaroo sees the flea leaps into the air and lands one mile from the … 
Math
The tail of a giant kangaroo is attached by a giant rubber band to a stake in the ground. A flea is sitting on top of the stake eyeing the kangaroo (hungrily). The kangaroo sees the flea leaps into the air and lands one mile from the … 
physics
A gray kangaroo can bound across a flat stretch of ground with each jump carrying it 9.3 m from the takeoff point. If the kangaroo leaves the ground at a 17.6 degree angle, what is its takeoff speed? 
physics
A gray kangaroo can bound across a flat stretch of ground with each jump carrying it 9.3 m from the takeoff point. If the kangaroo leaves the ground at a 17.6 degree angle, what is its takeoff speed? 
Physics
A gray kangaroo can bound across level ground with each jump carrying it 8.4 from the takeoff point. Typically the kangaroo leaves the ground at a 23 angle. What is its takeoff speed? 
Calculus
An airplane flys at a constant altitude of 2 miles and a constant speed of 600 miles per hour on a straight course that will take it directly over a kangaroo on the ground. How fast is the angle of elevation of the kangaroo's line … 
calculus
An airplane flys at a constant altitude of 2 miles and a constant speed of 600 miles per hour on a straight course that will take it directly over a kangaroo on the ground. How fast is the angle of elevation of the kangaroo's line … 
Math
An airplane flys at a constant altitude of 2 miles and a constant speed of 600 miles per hour on a straight course that will take it directly over a kangaroo on the ground. How fast is the angle of elevation of the kangaroo's line … 
Math
An airplane flys at a constant altitude of 2 miles and a constant speed of 600 miles per hour on a straight course that will take it directly over a kangaroo on the ground. How fast is the angle of elevation of the kangaroo's line …