To find the positions of the ships after 2 hours, we will calculate their individual movements based on their speeds and directions.
Position of Ship A:
Ship A is initially 100 km west of Ship B. Since Ship A is sailing east at 35 km/hr, in 2 hours it will cover:
Distance covered by Ship A: 35 km/hr × 2 hours = 70 km.
After 2 hours, Ship A will be:
Starting position of Ship A: -100 km (west of Ship B) + 70 km (eastward movement) = -30 km west of Ship B.
Position of Ship B:
Ship B is sailing north at 25 km/hr. In 2 hours, Ship B will cover:
Distance covered by Ship B: 25 km/hr × 2 hours = 50 km.
After 2 hours, Ship B will be:
Starting position of Ship B: 0 km (reference point) + 50 km (northward movement) = 50 km north of the starting point.
Final Positions:
After 2 hours:
- Ship A will be 30 km west and at the same latitude as Ship B’s starting point.
- Ship B will be at 50 km north of its starting position.
Thus, the final positions of the ships are:
- Ship A: 30 km west of Ship B’s starting position.
- Ship B: 50 km north of the starting position.
To visualize this, imagine a coordinate plane where Ship B is at the origin (0,0). Ship A is at (-30, 0) and Ship B is at (0, 50) after 2 hours.