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수학동아 - 폴리매스
함께 풀고 싶은 문제
나도 수학쌤 문장제 문제를 변형해 문제를 내는 곳입니다.
원파
2020.12.11 08:38
조회 586
도로를 다니다보면 속력 제한이 있다.
특정 차가 과속을 했는지 확인하는 방법은 크게 두가지가 자주 쓰인다.
1. 한 지점의 속력 측정
말그대로, 한 지점에서만 속력을 측정한다.
2. 구간의 속력 측정
특정 구간을 잡고, 구간의 시작점과 끝점에 속력을 재는 기계를 배치한다.
구간에 진입한 시간과 구간을 벗어난 시간, 그리고 구간의 길이를 이용해 구간 내에서의 평균 속력을 구할 수 있다.
1번 방법으로 속력을 측정할 경우, 측정하는 위치에서만 속력을 줄이고,
그 외에서는 과속을 하는 차량을 '과속을 하지 않았다'고 판단할 수 있다는 단점이 있다.
어떤 도로에서의 속력 제한이 시속 100km일때,
(1) 1번 방법에서 측정하는 지점에서 시속 x km로 운전했을 때 x 값에 따른 과속 여부를 구하여라.
(2) 2번 방법에서 구간을 진입한 시각이 자정에서부터 x초가 지났을 때이고(예를 들어 x=10이면 0시 0분 10초)
구간을 벗어난 시각이 자정에서부터 y초가 지났을 때이며, 구간의 길이가 z km라고 했을 때, x, y, z 값에 따른 과속 여부를 구하여라.
(풀이과정은 필수입니다)
지금 바로
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