Starting from the point M, Jatin walked 10 m towards west. He turned left and…
2024
Starting from the point M, Jatin walked 10 m towards west. He turned left and walked 15 m. He then turned left and walked 10 m. After this he turned to his right and walked 12 m. How far and in which directions is now Jatin from M?
- A.
35 m, South
- B.
47 m, East
- C.
37 m, North
- D.
27 m, South
Attempted by 1556 students.
Show answer & explanation
Correct answer: D
Solution: Track Jatin's position using east as positive x and north as positive y.
Start at M. Walk 10 m west: x = -10 m, y = 0 m.
Turn left (facing south) and walk 15 m: x = -10 m, y = -15 m.
Turn left (facing east) and walk 10 m: x = -10 + 10 = 0 m, y = -15 m.
Turn right (from east, right is south) and walk 12 m: x = 0 m, y = -15 - 12 = -27 m.
Net displacement: x = 0 m, y = -27 m.
Distance from M = 27 m; direction = South.
Answer: 27 m, South