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함께 풀고 싶은 문제
창의력을 기를 수 있는 수학 문제 또는 퍼즐을 내는 곳입니다.
[창의 퍼즐] 미분적분과 속돗값
유한의끝도못본남자 2019.11.09 21:13 조회 654
문제 푼 사람 0명
공유하기
페이스북 트위터 카카오톡 카카오스토리 네이버블로그 네이버밴드

속도계가있다

차량은 0,0원점으로 잡고

+방향으로 0초부터 90pi초부터잡고있다

속도계는 sin t를 가르키고있다

90pi초에 자동차는0,0부터 얼마나 이동하였는가

이 문제 어떠셨나요?

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  •  
    little 가우스 Lv.7 2019.11.09 21:58

    오랜만에 문제를 내시는 군요><

    댓글 작성하기 좋아요0 댓글수0
  •  
    delta Lv.7 2019.11.11 07:54

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    자동차가 뒤로 갈 수 있나요?

    일단 풀면

    속도는 이동거리의 미분값이니

    속도만 알면 적분으로 이동 거리를 구할 수 있습니다.

    시작점이 0이니 \int_{a}^{b}sin(x)dx에서 a를 0으로 잡고 b를 90pi로 잡으면

    (-cos(90pi)+C)  = -1+C

    (-cos(0)+C) = -1+C

    정적분을 구하면 상쇄되어 서로 0이 됩니다

    즉 답은 0

     

    댓글 작성하기 좋아요0 댓글수1

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