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一、一道追及问题在数学和物理中都有这样一道追及问题模型:我海上缉私舰雷达发现,距L海里处有一艘走私船正以匀速v1沿直线行驶,缉私舰立即以最大速度v_2追赶,若用雷达进行跟踪,保持缉私舰的瞬时速度方向始终指向走私船,且v_2>v_1,试求缉私舰追逐路线和追上的时间。二、数学建模分析在运动过程中将缉私舰和走私船视为质点,如图1所示的直角坐标系中,初始时刻,走私船位于
I. Pursuing the Problem Together In mathematics and physics, there is a model for pursuing this issue: My maritime anti-smuggling radar found that a smuggling ship at sea L was traveling at a straight speed v1 in a straight line. The anti-smuggling ship immediately chased after the maximum speed v_2, If using radar to track, keep the instantaneous speed direction of the anti-smuggling ship always pointing to the smuggling vessel, and v_2> v_1, to seek the anti-smuggling ship chase the route and catch up with the time. Second, the mathematical modeling analysis During the campaign will be anti-smuggling and smuggling ship as a particle, as shown in Figure 1 Cartesian coordinate system, the initial moment, the smuggling of ships at