Determine the velocity in a Moving Frame of Reference:
As illustrated in Figure, a ship A moves with a velocity v_{A} = 40 km/hour whereas ship B moves with a velocity of v_{B} = 30 km/hour. Determine the velocity of B as it appears to an observer on A.
Solution
Moving axes x, y are fixed to the ship A and all of the vectors are expressed in terms of vectors i, j.
Then v _{A } = 40 i and v_{B} = 30 j
A point fixed to the x, y axes and coinciding along with the ship A would also move with velocity v_{A}.
And
and magnitude
= 50 km / hour.