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Answer to Question #13413 in Mechanics | Relativity for Saniya Mulchandani

Question #13413
A car travels in south west direction for a distance of 100 km and then turns north west and goes 200 km.What is the displacement of the car in North,South and West direction? Find the net displacement of the car.
Expert's answer
As a car travels in south-west direction for a distance of 100 km, the the displacement is:
in North: -100/√2 km;
in South:& 100/√2 km;
in West: 100/√2 km.

After that car goes 200 km north-west, so the displacement is:
in North:& 200/√2 km;
in South: -200/√2 km;
in West: 200/√2 km.

So, the total displacement is:

in North: (-100+200)/√2 km = 100/√2 km ≈& 70.7107 km;
in South: (100-200)/√2 km& =-100/√2 km ≈ -70.7107 km;
in West:& (100+200)/√2 km& = 300/√2 km ≈ 212.1320 km.

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