Question

Когда спортсмен из команды 4"А" класса на последнем этапе принял эстафетную палочку от своего товарища,его соперник из команды 4"б" класса был впереди на 15м.Участник из 4"б" со скоростью 5км/с а его соперник-6 м/с.Через сколько секунд второй догонит первого?Сможет ли победить команда 4"а" класса,если длина заключительного этапа-90м?

Answer 1

Ничья будет,т.к ученику из 4Б класса для того чтобы закончить дистанцию нужно 15 с,и ученику из 4А нужно 15 секунд чтобы закончить дистанцию.

Answer 2

Problem Analysis

We have two athletes, one from team 4A and the other from team 4B. The athlete from team 4B is ahead by 15 meters and is running at a speed of 5 m/s, while the athlete from team 4A is running at a speed of 6 m/s. We need to calculate how long it will take for the athlete from team 4A to catch up to the athlete from team 4B. Additionally, we need to determine if team 4A can win the race if the final leg is 90 meters long.

Calculation

To calculate the time it takes for the athlete from team 4A to catch up to the athlete from team 4B, we can use the formula:

time = distance / relative speed

The relative speed is the difference in speed between the two athletes, which is 6 m/s - 5 m/s = 1 m/s. The distance is the initial distance between the two athletes, which is 15 meters. Plugging these values into the formula, we get:

time = 15 meters / 1 m/s = 15 seconds

So, it will take 15 seconds for the athlete from team 4A to catch up to the athlete from team 4B.

To determine if team 4A can win the race, we need to compare the time it takes for the athlete from team 4A to complete the final leg with the time it takes for the athlete from team 4B to complete the same distance. Since the final leg is 90 meters long, we can calculate the time it takes for each athlete to complete the distance using the formula:

time = distance / speed

For the athlete from team 4A: time = 90 meters / 6 m/s = 15 seconds

For the athlete from team 4B: time = 90 meters / 5 m/s = 18 seconds

Since the athlete from team 4A takes 15 seconds to complete the final leg and the athlete from team 4B takes 18 seconds, team 4A will win the race.

Conclusion

In conclusion, the athlete from team 4A will catch up to the athlete from team 4B in 15 seconds. Additionally, team 4A will win the race if the final leg is 90 meters long.

Note: The sources provided did not contain specific information related to this problem. The calculations and analysis were done based on the given information.