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Multi-Stage Displacement: Worksheet 10 - Expert Practice Multi-Stage Displacement EXPERT

Ready to master Multi-Stage Displacement? This accuracy focus 👑 worksheet (10/10) presents 20 expert-level challenges. Focus area: application-based learning. Learn to solve multi-stage displacement reasoning tricks, handle fast multi-stage displacement solving, and perfect multi-stage displacement mastery with our step-by-step solutions.

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

What you'll learn in this worksheet:
Your progress through Multi-Stage Displacement
Worksheet 10 of 10 (100% complete)

Question 1

A person walks 12 m East, then 23 m North, then 12 m East. Find his displacement from the starting point.
Step-by-step:
1. Track net displacement:
- North-South: 23 m North
- East-West: 24 m East
2. Displacement = √(24² + 23²) = √1105 = 33 m
3. Total distance walked = 47 m

Question 2

A person walks 20 m West, then 21 m South, then 16 m East, then 25 m West. Find his displacement from the starting point.
Step-by-step:
1. Track net displacement:
- North-South: -21 m South
- East-West: -29 m West
2. Displacement = √(-29² + -21²) = √1282 = 36 m
3. Total distance walked = 82 m

Question 3

A person walks 19 m North, then 18 m East, then 20 m West. Find his displacement from the starting point.
Step-by-step:
1. Track net displacement:
- North-South: 19 m North
- East-West: -2 m West
2. Displacement = √(-2² + 19²) = √365 = 19 m
3. Total distance walked = 57 m

Question 4

A person walks 11 m West, then 12 m South, then 17 m North, then 24 m East. Find his displacement from the starting point.
Step-by-step:
1. Track net displacement:
- North-South: 5 m North
- East-West: 13 m East
2. Displacement = √(13² + 5²) = √194 = 14 m
3. Total distance walked = 64 m

Question 5

A person walks 9 m East, then 15 m South, then 18 m South, then 15 m South. Find his displacement from the starting point.
Step-by-step:
1. Track net displacement:
- North-South: -48 m South
- East-West: 9 m East
2. Displacement = √(9² + -48²) = √2385 = 49 m
3. Total distance walked = 57 m

Question 6

A person walks 15 m West, then 12 m East, then 11 m South. Find his displacement from the starting point.
Step-by-step:
1. Track net displacement:
- North-South: -11 m South
- East-West: -3 m West
2. Displacement = √(-3² + -11²) = √130 = 11 m
3. Total distance walked = 38 m

Question 7

A person walks 18 m West, then 10 m South, then 14 m North, then 11 m South. Find his displacement from the starting point.
Step-by-step:
1. Track net displacement:
- North-South: -7 m South
- East-West: -18 m West
2. Displacement = √(-18² + -7²) = √373 = 19 m
3. Total distance walked = 53 m

Question 8

A person walks 24 m West, then 12 m South, then 19 m South, then 12 m East. Find his displacement from the starting point.
Step-by-step:
1. Track net displacement:
- North-South: -31 m South
- East-West: -12 m West
2. Displacement = √(-12² + -31²) = √1105 = 33 m
3. Total distance walked = 67 m

Question 9

A person walks 22 m East, then 21 m North, then 16 m North, then 11 m South. Find his displacement from the starting point.
Step-by-step:
1. Track net displacement:
- North-South: 26 m North
- East-West: 22 m East
2. Displacement = √(22² + 26²) = √1160 = 34 m
3. Total distance walked = 70 m

Question 10

A person walks 22 m West, then 8 m South, then 15 m East. Find his displacement from the starting point.
Step-by-step:
1. Track net displacement:
- North-South: -8 m South
- East-West: -7 m West
2. Displacement = √(-7² + -8²) = √113 = 11 m
3. Total distance walked = 45 m

Question 11

A person walks 9 m South, then 17 m South, then 14 m West. Find his displacement from the starting point.
Step-by-step:
1. Track net displacement:
- North-South: -26 m South
- East-West: -14 m West
2. Displacement = √(-14² + -26²) = √872 = 30 m
3. Total distance walked = 40 m

Question 12

A person walks 23 m West, then 24 m South, then 20 m South, then 21 m East. Find his displacement from the starting point.
Step-by-step:
1. Track net displacement:
- North-South: -44 m South
- East-West: -2 m West
2. Displacement = √(-2² + -44²) = √1940 = 44 m
3. Total distance walked = 88 m

Question 13

A person walks 18 m East, then 18 m East, then 19 m East. Find his displacement from the starting point.
Step-by-step:
1. Track net displacement:
- North-South: 0 m 0
- East-West: 55 m East
2. Displacement = √(55² + 0²) = √3025 = 55 m
3. Total distance walked = 55 m

Question 14

A person walks 10 m West, then 25 m North, then 18 m North, then 18 m North. Find his displacement from the starting point.
Step-by-step:
1. Track net displacement:
- North-South: 61 m North
- East-West: -10 m West
2. Displacement = √(-10² + 61²) = √3821 = 62 m
3. Total distance walked = 71 m

Question 15

A person walks 25 m South, then 17 m South, then 20 m South, then 14 m South. Find his displacement from the starting point.
Step-by-step:
1. Track net displacement:
- North-South: -76 m South
- East-West: 0 m 0
2. Displacement = √(0² + -76²) = √5776 = 76 m
3. Total distance walked = 76 m

Question 16

A person walks 22 m West, then 9 m West, then 8 m South. Find his displacement from the starting point.
Step-by-step:
1. Track net displacement:
- North-South: -8 m South
- East-West: -31 m West
2. Displacement = √(-31² + -8²) = √1025 = 32 m
3. Total distance walked = 39 m

Question 17

A person walks 12 m North, then 23 m East, then 16 m South. Find his displacement from the starting point.
Step-by-step:
1. Track net displacement:
- North-South: -4 m South
- East-West: 23 m East
2. Displacement = √(23² + -4²) = √545 = 23 m
3. Total distance walked = 51 m

Question 18

A person walks 8 m South, then 10 m West, then 16 m North. Find his displacement from the starting point.
Step-by-step:
1. Track net displacement:
- North-South: 8 m North
- East-West: -10 m West
2. Displacement = √(-10² + 8²) = √164 = 13 m
3. Total distance walked = 34 m

Question 19

A person walks 10 m North, then 8 m North, then 15 m South, then 19 m West. Find his displacement from the starting point.
Step-by-step:
1. Track net displacement:
- North-South: 3 m North
- East-West: -19 m West
2. Displacement = √(-19² + 3²) = √370 = 19 m
3. Total distance walked = 52 m

Question 20

A person walks 21 m North, then 21 m South, 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: 0 m 0
2. Displacement = √(0² + -21²) = √441 = 21 m
3. Total distance walked = 63 m
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