Sailing Boat and Rain in the presence of wind.?

1. Sailing Boat
A man rows a boat with a speed of 18Km/h in the northwest direction. The shoreline makes an angle of 15 degree south of west. Obtain the components of the velocity of boat along the shoreline and the perpendicular to the shoreline.
2. Rain in the presence of wind
On a certain day rain was falling vertically with a speed of 30m/s. A wind started blowing after some time with a speed of 10m/s in the north to south direction. In which direction should a boy waiting at a bus stop hold his umbrella.
(do this questions are correct please explain.)

The velocity of the boat relative to the x and y axis is:

Vx = (18 km/h)sin(-45°) = -12.73 km/hr (in the -x direction)
Vy = (18 km/h)cos(45°) = 12.73 km/hr (in the +y direction)

Now we convert this to the shorline’s reference frame:

Vx = (18 km/h)sin(-45°+15°) = -9 km/hr
Vy = (18 km/h)cos(45°+15°) = 9 km/hr

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Zeus Sailing Navigation System – 8 Display $3221.94 Zeus Sailing Navigation System – 8″ Display Zeus Sailing Navigation System – 8″ DisplayPart #: 000-10239-001A multifunction navigation system designed specifically for sailboats. B&G’s Zeus Sailing Navigation System provides the sailor with total control of navigation onboard the yacht.The DisplayAt the core of the Zeus system lies a high specification multifunction display. Its powerful processor allows high speed access to a comprehensive range of capabilities, while a combination of direct access keys, keypad and rotary dial ensure that features can be activated, and data input and manipulated, in an easy and straightforward fashion.Integrated Navigation SystemThe B&G Zeus display comes with an integral chartplotter with ultra-fast redraw and pre-loaded regional charts. Its in-built multifunction capabilities additionally equip it to act as a hub for a wide range of B&G and Navico instruments; displaying data in combinations, layouts and formats selected by the user, and allowing the full control and input of data. Key Features:WeatherThe unique weather functionality of the B&G Zeus allows the user to forecast data overlaid on to the chart to gain a clear understanding of the conditions that they are likely to face. Data supplied includes: Wind Speed and Direction Barometric pressure with pressure centre indicators Manual time step control – select any available forecast time Animation option shows how weather systems are likely to develop and allows the sailor to take appropriate steps to prepare, or route around Cursor Info feature allows quick assessment of the forecast at a particular location and time GRIB weather files are easily uploaded via the USB portSail NavigationImportant sailing data is overlaid onto the Zeus chart, enabling an assessment of the most efficient route to be sailed rather than a simple straight-line “power boat” waypoint to waypoint route.Water and Ground vectors show the effect of tide and leeway on your course Mark and Boat Laylines are displayed. Easily assess whether the boat will be able to clear a headland or obstacle on its next tack. Laylines can be configured to displayManual (user) wind angle target Actual True Wind Angle from instruments Target True Wind Angle (H3000 instruments with Polar tables only) Option to correct layline positions for measured tidal flowHistoric min/max layline positions allow the navigator to make a safe decision to tack for a headland or waypoint based on the recent range of True Wind Direction Time and distance to layline information is provided for each tack, allowing preparation time for maneuversIntegration with B&G H3000 InstrumentsDirect integration with B&G H3000 instruments via H-Link allows the B&G Zeus navigation software to assess the conditions using the most accurate data possible and enables the configuration of instrument functions.ChartingIntegral chartplotter with preloaded cartography (Nautic Insight for the USA and Navionics coastal packages for Europe and APAC

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