A boat is traveling at 54 knots in a direction of 48°. It encounters wind moving at 14 knots in a direction of 20°. What is the true velocity and direction of the boat? Round to the nearest whole number. a 67 knots; 42° b 4,447 knots; 68° c 49 knots; 47° d 67 knots; 68°

Passengers on the deck of a boat with a speed of Vs= 20⁡ m/s with the given direction experience a wind blowing at a speed of Vw = 10⁡ m/s as shown. What is the magnitude of the wind speed experienced by someone on the shore?

A vessel sets out from Delfzijl, The Netherlands, heading due north at 9.5 m/s relative to the water. The local ocean current is 1.50 m/s in a direction 40.0° north of east. What is the angle of the velocity of the vessel relative to the Earth in degrees N of E?

The river runs straight north-south with a current 4mph south. You paddle straight from west to east and your paddling speed is 3mph. Determine your actual speed and direction on a compass. (0 degrees is north, 90 degrees is east, etc.)

An airplane flies due north through the air at a speed of  75 m/s in a wind from the west at 10 m/s. What is the ground speed of the plane and what direction will it go?

An airplane pilot wishes to fly directly westward. According to the weather bureau, a wind of 75.0 km/hourkm/hour is blowing southward. The speed of the plane relative to the air (called the "air speed") as measured by instruments aboard the plane is 310 km/hourkm/hour . In which direction should the pilot head? a)What is the speed of the air relative to a person standing on the ground, vA/G? What is the speed of the plane relative to the air, vP/A?

A kicker on the football field kicked the ball with a velocity of 14.8 m/s at an angle of 33° to the horizontal. How far from the kicker did the ball land?

The velocity of the wind relative to the water is crucial to sailboats. Suppose a sailboat is in an ocean current that has a velocity of 2.1 m/s in a direction 27° east of north relative to the Earth. It encounters a wind that has a velocity of 4.4 m/s in a direction of 49° south of west relative to the Earth.  1. What is the magnitude of the velocity of the wind relative to the water, in meters per second?   2. What is the angle of the velocity of the wind relative to the water degrees south of west?

A driver leaves a 3 m board on a trajectory that takes her 2.5 m above the board and then into the Water 2.8 m horizontally from the end of the board. At what speed and angle did she leave the board?

A field biologist is studying the migration patterns of northern gannets (a type of seabird). On one particularday, she records that they fly 5.0 km northeast, then turn toward to the south of east by 30 degrees and fly 4.0 kmin the new direction. How far north or south of their original position are the birds?