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Multi-Stage Displacement Beginner-Intermediate Worksheet: Focus on common variations practice Multi-Stage Displacement BEGINNER INTERMEDIATE

Level up your Multi-Stage Displacement skills! You're at Worksheet 4 of 10 (33% through this series). This step-up challenge worksheet features 20 beginner-intermediate-level problems with a focus on common variations practice. Topics covered: multi-stage displacement for competitive exams, how to solve multi-stage displacement, multi-stage displacement tricks.

📝 Worksheet 4 of 10 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Beginner Intermediate level

What you'll learn in this worksheet:
Your progress through Multi-Stage Displacement
Worksheet 4 of 10 (33% complete)

Question 1

A person walks 24 m North, then 21 m North, then 25 m North, then 16 m West. Find his displacement from the starting point.
Step-by-step:
1. Track net displacement:
- North-South: 70 m North
- East-West: -16 m West
2. Displacement = √(-16² + 70²) = √5156 = 72 m
3. Total distance walked = 86 m

Question 2

A person walks 17 m West, then 14 m West, then 10 m West. Find his displacement from the starting point.
Step-by-step:
1. Track net displacement:
- North-South: 0 m 0
- East-West: -41 m West
2. Displacement = √(-41² + 0²) = √1681 = 41 m
3. Total distance walked = 41 m

Question 3

A person walks 8 m West, then 24 m East, then 13 m North. Find his displacement from the starting point.
Step-by-step:
1. Track net displacement:
- North-South: 13 m North
- East-West: 16 m East
2. Displacement = √(16² + 13²) = √425 = 21 m
3. Total distance walked = 45 m

Question 4

A person walks 16 m West, then 13 m West, then 20 m East. Find his displacement from the starting point.
Step-by-step:
1. Track net displacement:
- North-South: 0 m 0
- East-West: -9 m West
2. Displacement = √(-9² + 0²) = √81 = 9 m
3. Total distance walked = 49 m

Question 5

A person walks 21 m South, then 9 m South, then 25 m East. Find his displacement from the starting point.
Step-by-step:
1. Track net displacement:
- North-South: -30 m South
- East-West: 25 m East
2. Displacement = √(25² + -30²) = √1525 = 39 m
3. Total distance walked = 55 m

Question 6

A person walks 20 m West, then 16 m East, then 9 m East. Find his displacement from the starting point.
Step-by-step:
1. Track net displacement:
- North-South: 0 m 0
- East-West: 5 m East
2. Displacement = √(5² + 0²) = √25 = 5 m
3. Total distance walked = 45 m

Question 7

A person walks 18 m North, then 21 m South, then 16 m East. Find his displacement from the starting point.
Step-by-step:
1. Track net displacement:
- North-South: -3 m South
- East-West: 16 m East
2. Displacement = √(16² + -3²) = √265 = 16 m
3. Total distance walked = 55 m

Question 8

A person walks 11 m East, then 10 m South, then 12 m East, then 9 m North. Find his displacement from the starting point.
Step-by-step:
1. Track net displacement:
- North-South: -1 m South
- East-West: 23 m East
2. Displacement = √(23² + -1²) = √530 = 23 m
3. Total distance walked = 42 m

Question 9

A person walks 21 m East, then 9 m South, then 13 m South. Find his displacement from the starting point.
Step-by-step:
1. Track net displacement:
- North-South: -22 m South
- East-West: 21 m East
2. Displacement = √(21² + -22²) = √925 = 30 m
3. Total distance walked = 43 m

Question 10

A person walks 13 m South, then 21 m East, then 21 m West. Find his displacement from the starting point.
Step-by-step:
1. Track net displacement:
- North-South: -13 m South
- East-West: 0 m 0
2. Displacement = √(0² + -13²) = √169 = 13 m
3. Total distance walked = 55 m

Question 11

A person walks 13 m South, then 16 m North, then 8 m South, then 16 m East. Find his displacement from the starting point.
Step-by-step:
1. Track net displacement:
- North-South: -5 m South
- East-West: 16 m East
2. Displacement = √(16² + -5²) = √281 = 17 m
3. Total distance walked = 53 m

Question 12

A person walks 17 m East, then 18 m East, then 24 m South. Find his displacement from the starting point.
Step-by-step:
1. Track net displacement:
- North-South: -24 m South
- East-West: 35 m East
2. Displacement = √(35² + -24²) = √1801 = 42 m
3. Total distance walked = 59 m

Question 13

A person walks 16 m West, then 13 m South, then 12 m North, then 14 m West. Find his displacement from the starting point.
Step-by-step:
1. Track net displacement:
- North-South: -1 m South
- East-West: -30 m West
2. Displacement = √(-30² + -1²) = √901 = 30 m
3. Total distance walked = 55 m

Question 14

A person walks 25 m North, then 17 m North, then 12 m North, then 25 m South. Find his displacement from the starting point.
Step-by-step:
1. Track net displacement:
- North-South: 29 m North
- East-West: 0 m 0
2. Displacement = √(0² + 29²) = √841 = 29 m
3. Total distance walked = 79 m

Question 15

A person walks 16 m North, then 8 m South, then 15 m North. Find his displacement from the starting point.
Step-by-step:
1. Track net displacement:
- North-South: 23 m North
- East-West: 0 m 0
2. Displacement = √(0² + 23²) = √529 = 23 m
3. Total distance walked = 39 m

Question 16

A person walks 9 m East, then 11 m South, then 9 m South. Find his displacement from the starting point.
Step-by-step:
1. Track net displacement:
- North-South: -20 m South
- East-West: 9 m East
2. Displacement = √(9² + -20²) = √481 = 22 m
3. Total distance walked = 29 m

Question 17

A person walks 11 m East, then 17 m East, then 18 m East. Find his displacement from the starting point.
Step-by-step:
1. Track net displacement:
- North-South: 0 m 0
- East-West: 46 m East
2. Displacement = √(46² + 0²) = √2116 = 46 m
3. Total distance walked = 46 m

Question 18

A person walks 14 m South, then 8 m West, then 18 m South. Find his displacement from the starting point.
Step-by-step:
1. Track net displacement:
- North-South: -32 m South
- East-West: -8 m West
2. Displacement = √(-8² + -32²) = √1088 = 33 m
3. Total distance walked = 40 m

Question 19

A person walks 22 m West, then 12 m North, then 15 m North, then 14 m North. Find his displacement from the starting point.
Step-by-step:
1. Track net displacement:
- North-South: 41 m North
- East-West: -22 m West
2. Displacement = √(-22² + 41²) = √2165 = 47 m
3. Total distance walked = 63 m

Question 20

A person walks 9 m West, then 11 m West, then 20 m West. 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 = 40 m
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