Kunal walks 10 kilometers towards North. From there, he walks 6 kilometers…
2025
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
- B.
13 km towards north
- C.
19 km towards south
- D.
5 km towards north-east
Attempted by 1 students.
Show answer & explanation
Correct answer: D
Solution: compute net displacement using components.
Net north-south displacement = 10 km north − 6 km south = 4 km north.
East displacement = 3 km east.
Resultant distance = sqrt(4^2 + 3^2) = sqrt(16 + 9) = sqrt(25) = 5 km.
Direction = arctan(3/4) ≈ 36.9° east of north, i.e., toward the north-east.
Answer: 5 km towards north-east.