Taxi Final Position Calculation

This solution determines the taxi's final position relative to its starting point using step-by-step movement analysis.

Movement Breakdown

• Assume the starting position is the origin (0, 0).
• 1. 7 km South: The taxi moves along the y-axis. Position becomes (0, -7).
• 2. 5 km East: The taxi moves parallel to the x-axis. Position becomes (0+5, -7) = (5, -7).
• 3. 7 km North: The taxi moves parallel to the y-axis. Position becomes (5, -7+7) = (5, 0).
• 4. Turns Left & 2 km: Facing North, turning left means turning West. The taxi moves parallel to the x-axis in the negative direction. Position becomes (5-2, 0) = (3, 0).

Displacement from Start

The final position is (3, 0).

The starting position was (0, 0).

The net displacement is calculated by comparing the final coordinates to the initial coordinates:

• Net East-West displacement = 5 km (East) - 2 km (West) = 3 km East.
• Net North-South displacement = 7 km (South) + 7 km (North) = 0 km.

The taxi is located 3 km towards the east from its starting position.