A) The vector component for the cruise ship is 22 mph south.
B) The vector component for the Gulf stream is 4 mph east.
C) To find the resultant vector, we need to use the Pythagorean theorem:
resultant vector = √(22^2 + 4^2) = √500 ≈ 22.4 mph
D) To find the resultant velocity, we divide the resultant vector by the time interval, assuming it is constant. We don't have a time interval given, so we can't calculate this.
E) To find the resultant direction, we use trigonometry:
resultant direction = arctan(4/22) ≈ 10.5° east of south
2) A cruise ship is traveling south going approximately 22mph when it hits the Gulf Stream flowing east at 4 mph.
Show your work.
A) What is the vector component for the cruise ship?
B) What is the vector component for the Gulf stream?
C) What is the resultant vector?
D) Find the resultant velocity. Round to the nearest tenth.
E) Find the resultant direction. Round to the nearest tenth.
1 answer