physics
posted by bobby .
heading due north at 6.00 m/s relative to the water. The local ocean current is 1.53 m/s in a direction 40° north of east. What is the velocity of the ship relative to the earth?

It is the vector sum of the velocity of the ship relative to the water, and the velocity of the water with respect to the land.

V = 6.0m/s[90o] + 1.53m/s[40o]
X = 6.0*Cos90 + 1.5*Cos40 = 0 + 1.15 = 1.15 m/s.
Y = 6*sin90 + 1.5*sin40 = 6 + 0.96 = 6.96 m/s.
Tan A = Y/X = 6.96/1.15 = 6.05.
A = 80.6o.
V = Y/sin A = 6.96/sin80.6 = 7.05 m/s[80.6o]
Respond to this Question
Similar Questions

Physics
At the entrance channel of a harbor, the tidal current has a velocity of 4.94 km/hr in a direction 23.2° south of east. Suppose a ship caught in this current has a speed of 15.6 km/hr relative to the water. If the helmsman keeps the … 
Physics
At the entrance channel of a harbor, the tidal current has a velocity of 4.94 km/hr in a direction 23.2° south of east. Suppose a ship caught in this current has a speed of 15.6 km/hr relative to the water. If the helmsman keeps the … 
Physics
At the entrance channel of a harbor, the tidal current has a velocity of 4.94 km/hr in a direction 23.2° south of east. Suppose a ship caught in this current has a speed of 15.6 km/hr relative to the water. If the helmsman keeps the … 
math
1)An object is suspended from two points on the ceiling 25cm apart by two pieces of rope of lengths 27cm and 24 if the object exerts from a downward force 200N then find the tension in each rope 2)An airplane heading north at 550km/h … 
science
a boat heading due north crosses a wide river with speed of 12km/h relative to the water the water in the river has a uniform speed of 5 km/h due east relative to the earth.determine the velocity of the boat relative to an observer … 
Physics
a ship is heading due north at 7.50 m/s relative to the water. The local current is 1.52 m/s in a direction 42 degree west of north. Find its velocity relative to earth( find both direction and magnitude of the velocity) 
Physics
A 130mwide river flows due east at a uniform speed of 4.1m/s. A boat with a speed of 6.6m/s relative to the water leaves the south bank pointed in a direction 29o west of north. What is the (a) magnitude and (b) direction of the … 
Physics
A ship sets sail from Rotterdam, The Netherlands, heading due north at 5.00 m/s relative to the water. The local ocean current is 1.54 m/s in a direction 40° north of east. What is the velocity of the ship relative to the earth? 
Physics
As an aid in working this problem, consult Interactive Solution 3.62. A ferryboat is traveling in a direction 32.0 ° north of east with a speed of 5.38 m/s relative to the water. A passenger is walking with a velocity of 1.50 m/s … 
physics
Assumed that north is the ydirection and east the xdirection. You are piloting the boat that moves at a constant speed of 10 km/hr relative to the water beneath it. 1) On a body of still water, you point your boat due north for 2hr, …