某港口的水深(米)是时间t(0≤t≤24)(单位:时)的函数,记作y=f(t)下面是该港口某季节每天水深的数据:
经过长期观察,y=f(t)的曲线可近似地看作y=Asinωt+b的图象,一般情况下,船舶航行时,船底离海底的距离不小于5m是安全的(船舶停靠岸时,船底只需不碰海底即可).某船吃水深度(船底离水面距离)为6.5m,如果该船想在同一天内安全出港,问它至多能在港内停留的时间是(忽略进出港所用时间)( )
A.17
B.16
C.5
D.4
0 96903 96911 96917 96921 96927 96929 96933 96939 96941 96947 96953 96957 96959 96963 96969 96971 96977 96981 96983 96987 96989 96993 96995 96997 96998 96999 97001 97002 97003 97005 97007 97011 97013 97017 97019 97023 97029 97031 97037 97041 97043 97047 97053 97059 97061 97067 97071 97073 97079 97083 97089 97097 266669
| t | 3 | 6 | 9 | 12 | 15 | 18 | 21 | 24 | |
| y | 10.0 | 13.0 | 10.01 | 7.0 | 10.0 | 13.0 | 10.01 | 7.0 | 10.0 |
A.17
B.16
C.5
D.4