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Multi-Stage Displacement - Expert Level: conceptual clarity Multi-Stage Displacement EXPERT

This skill evaluation ⚡ worksheet focuses on Multi-Stage Displacement - a key topic in Distance Logic. You'll solve 20 expert-level problems (Worksheet 9 of 10). The primary focus is on conceptual clarity. Master multi-stage displacement ssc cgl, multi-stage displacement reasoning tricks, and fast multi-stage displacement solving through systematic practice.

📝 Worksheet 9 of 10 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Expert level

What you'll learn in this worksheet:
Your progress through Multi-Stage Displacement
Worksheet 9 of 10 (88% complete)

Question 1

A person walks 15 m South, then 13 m West, then 12 m North. Find his displacement from the starting point.
Step-by-step:
1. Track net displacement:
- North-South: -3 m South
- East-West: -13 m West
2. Displacement = √(-13² + -3²) = √178 = 13 m
3. Total distance walked = 40 m

Question 2

A person walks 12 m North, then 16 m South, then 25 m North. Find his displacement from the starting point.
Step-by-step:
1. Track net displacement:
- North-South: 21 m North
- East-West: 0 m 0
2. Displacement = √(0² + 21²) = √441 = 21 m
3. Total distance walked = 53 m

Question 3

A person walks 14 m South, then 15 m North, then 25 m East. Find his displacement from the starting point.
Step-by-step:
1. Track net displacement:
- North-South: 1 m North
- East-West: 25 m East
2. Displacement = √(25² + 1²) = √626 = 25 m
3. Total distance walked = 54 m

Question 4

A person walks 10 m North, then 15 m West, then 13 m West. Find his displacement from the starting point.
Step-by-step:
1. Track net displacement:
- North-South: 10 m North
- East-West: -28 m West
2. Displacement = √(-28² + 10²) = √884 = 30 m
3. Total distance walked = 38 m

Question 5

A person walks 21 m West, then 14 m West, then 13 m West, then 8 m East. Find his displacement from the starting point.
Step-by-step:
1. Track net displacement:
- North-South: 0 m 0
- East-West: -40 m West
2. Displacement = √(-40² + 0²) = √1600 = 40 m
3. Total distance walked = 56 m

Question 6

A person walks 9 m East, then 13 m North, then 19 m West, then 20 m East. Find his displacement from the starting point.
Step-by-step:
1. Track net displacement:
- North-South: 13 m North
- East-West: 10 m East
2. Displacement = √(10² + 13²) = √269 = 16 m
3. Total distance walked = 61 m

Question 7

A person walks 16 m South, then 11 m North, then 17 m East. Find his displacement from the starting point.
Step-by-step:
1. Track net displacement:
- North-South: -5 m South
- East-West: 17 m East
2. Displacement = √(17² + -5²) = √314 = 18 m
3. Total distance walked = 44 m

Question 8

A person walks 20 m East, then 24 m South, then 18 m South. Find his displacement from the starting point.
Step-by-step:
1. Track net displacement:
- North-South: -42 m South
- East-West: 20 m East
2. Displacement = √(20² + -42²) = √2164 = 47 m
3. Total distance walked = 62 m

Question 9

A person walks 21 m North, then 25 m South, then 11 m North. Find his displacement from the starting point.
Step-by-step:
1. Track net displacement:
- North-South: 7 m North
- East-West: 0 m 0
2. Displacement = √(0² + 7²) = √49 = 7 m
3. Total distance walked = 57 m

Question 10

A person walks 9 m South, then 15 m South, then 24 m East, then 19 m South. Find his displacement from the starting point.
Step-by-step:
1. Track net displacement:
- North-South: -43 m South
- East-West: 24 m East
2. Displacement = √(24² + -43²) = √2425 = 49 m
3. Total distance walked = 67 m

Question 11

A person walks 23 m North, then 20 m North, then 14 m West, then 18 m East. Find his displacement from the starting point.
Step-by-step:
1. Track net displacement:
- North-South: 43 m North
- East-West: 4 m East
2. Displacement = √(4² + 43²) = √1865 = 43 m
3. Total distance walked = 75 m

Question 12

A person walks 16 m West, then 16 m West, then 21 m South. Find his displacement from the starting point.
Step-by-step:
1. Track net displacement:
- North-South: -21 m South
- East-West: -32 m West
2. Displacement = √(-32² + -21²) = √1465 = 38 m
3. Total distance walked = 53 m

Question 13

A person walks 22 m South, then 25 m West, then 18 m East, then 17 m South. Find his displacement from the starting point.
Step-by-step:
1. Track net displacement:
- North-South: -39 m South
- East-West: -7 m West
2. Displacement = √(-7² + -39²) = √1570 = 40 m
3. Total distance walked = 82 m

Question 14

A person walks 16 m East, then 23 m East, then 14 m North, then 15 m South. Find his displacement from the starting point.
Step-by-step:
1. Track net displacement:
- North-South: -1 m South
- East-West: 39 m East
2. Displacement = √(39² + -1²) = √1522 = 39 m
3. Total distance walked = 68 m

Question 15

A person walks 18 m West, then 11 m South, then 10 m North, then 19 m West. Find his displacement from the starting point.
Step-by-step:
1. Track net displacement:
- North-South: -1 m South
- East-West: -37 m West
2. Displacement = √(-37² + -1²) = √1370 = 37 m
3. Total distance walked = 58 m

Question 16

A person walks 8 m South, then 19 m East, then 24 m West, then 18 m East. Find his displacement from the starting point.
Step-by-step:
1. Track net displacement:
- North-South: -8 m South
- East-West: 13 m East
2. Displacement = √(13² + -8²) = √233 = 15 m
3. Total distance walked = 69 m

Question 17

A person walks 17 m North, then 8 m East, then 8 m East, then 10 m West. Find his displacement from the starting point.
Step-by-step:
1. Track net displacement:
- North-South: 17 m North
- East-West: 6 m East
2. Displacement = √(6² + 17²) = √325 = 18 m
3. Total distance walked = 43 m

Question 18

A person walks 16 m West, then 11 m North, then 9 m East, then 25 m South. Find his displacement from the starting point.
Step-by-step:
1. Track net displacement:
- North-South: -14 m South
- East-West: -7 m West
2. Displacement = √(-7² + -14²) = √245 = 16 m
3. Total distance walked = 61 m

Question 19

A person walks 25 m West, then 9 m East, then 22 m North, then 20 m East. Find his displacement from the starting point.
Step-by-step:
1. Track net displacement:
- North-South: 22 m North
- East-West: 4 m East
2. Displacement = √(4² + 22²) = √500 = 22 m
3. Total distance walked = 76 m

Question 20

A person walks 18 m North, then 24 m West, then 24 m West, then 18 m North. Find his displacement from the starting point.
Step-by-step:
1. Track net displacement:
- North-South: 36 m North
- East-West: -48 m West
2. Displacement = √(-48² + 36²) = √3600 = 60 m
3. Total distance walked = 84 m
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