Q .Kunal walks 10 kilometers towards North. From there, he walks 6 kilometers…
2024
Q .Kunal walks 10 kilometers towards North. From there, he walks 6 kilometers towards South. Then, he walks 3 kilometers towards East. How far and in which direction is he with reference to his starting point?
- A.
13 km towards South-West
- B.
5 km towards North-East
- C.
3 km towards South-West
- D.
5 km towards South-East
Attempted by 1 students.
Show answer & explanation
Correct answer: B
Solution: compute net displacements and apply Pythagoras.
Step 1: Find net north-south displacement: 10 km north − 6 km south = 4 km north.
Step 2: Find east-west displacement: 3 km east (no west movement).
Step 3: Compute straight-line distance from start using Pythagoras: sqrt((4 km)^2 + (3 km)^2) = sqrt(16 + 9) = 5 km.
Step 4: Determine direction: the vector is 4 km north and 3 km east, so the direction is arctan(3/4) ≈ 36.9° east of north, i.e., north-east.
Answer: 5 km towards North-East.