Ants on a Stick
On a stick that is one meter long, there are `10` ants, `5` from each side, at distances of one centimeter (see the picture). The ants on the left side of the stick move to the right, and the ants on the right side of the stick move to the left. The speed of each ant is constant and equal to one centimeter per second. When two ants meet, they both reverse direction and start moving away from each other. When any ant reaches the end of the stick, it falls off (ants are particularly stupid creatures).
a. Will all the ants fall off the stick, and if so, in how much time?
b. How many collisions will occur between the ants?
Difficulty level (1 very easy - 10 very hard): 3
Topics:
Combinatorics
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Invariants
Logic
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Reasoning / Logic
Combinatorics
->
Case Analysis / Checking Cases
->
Processes / Procedures
Combinatorics
->
Case Analysis / Checking Cases
->
Processes / Procedures
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