Tuesday, December 6, 2011

Swimming Speeds in a Race?

One swimmer in a relay race has a 0.50 s lead and swimming at a constant speed of 4.4 m/s. He has 52 m to swim before reaching the end of the pool. A second swimmer moves in the same direction as the leader. What constant speed must the second swimmer have in order to catch up to the leader at the end of the pool?|||The swimmer does 4.4m/ sec. So first, he has a 1/2 second lead, = 2.2m.


The pool must therefore be (52 + 2.2) = 54.4m long.


He will do the distance in (52/4.4) = 11.818 + 0.5secs. = 12.318 secs.


The next swimmer has just that time to cover the complete 54.4m.


54.4/12.318 = 4.416 m/ sec.

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