A car travels 17 km South, then turns East and travels 11 km, then turns North and travels 9 km, then turns to its left and travels 11 km. Where is the car now with reference to its starting position?
8 km South
Take the start as origin with North = +y, East = +x.
Step 1 - South 17 km: position \((0,-17)\).
Step 2 - East 11 km: position \((11,-17)\).
Step 3 - North 9 km: position \((11,-8)\). The car is now facing North.
Step 4 - Left from North = West, 11 km: position \((0,-8)\).
The car ends up directly below the start, so it is 8 km South of the starting position.
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