00:01
Okay, so we have two swimmers that are doing a part of a relay race.
00:07
So the total distance for the relay race is 200, but the part that we're worried about is just this one leg, which is 50 meters long.
00:16
We have two swimmers.
00:18
One has a 0 .450 second head start, and they're going at a velocity of 3 .9 meters per second.
00:27
And we want to know what velocity the other swimmer has to swim in order to catch up by the end of this 50 meter leg.
00:38
So the first thing that we'll do is figure out how far this first swimmer has gone into this 50 meters.
00:48
So that's just going to be distance is equal to velocity times time, which we have for this swimmer.
00:58
And we'll say this is d1, so d4 swimmer 1.
01:03
Velocity 1, t1.
01:07
So that's 3 .90 meters per second times 0 .450 seconds, and that's equal to 1 .755 meters.
01:24
So this swimmer has only swam 1 .755 meters, which means the distance that they have left, so the remaining distance for swimmer one, so we'll call a dr1, is 50 minus 1 .75 meters.
01:48
And that is going to be 48 .25 meters.
01:59
So that's how much more they have to swim and we're assuming they're still going at that 3 .9 meters per second.
02:06
So for swimmer 2, they have a remaining distance of 50 meters because they are behind.
02:22
So we have the two distances that they are they need to swim and we just want to find how fast or how much longer it's going to take for swimmer 1 to swim this 48 .245 meters and then we'll find the velocity for the other swimmer...