ReasoningAbility.com

Multi-Stage Displacement - Intermediate Level: tricky scenarios handling Multi-Stage Displacement INTERMEDIATE

This expert challenge 📈 worksheet focuses on Multi-Stage Displacement - a key topic in Distance Logic. You'll solve 20 intermediate-level problems (Worksheet 5 of 10). The primary focus is on tricky scenarios handling. Master how to solve multi-stage displacement, multi-stage displacement tricks, and multi-stage displacement shortcut methods through systematic practice.

📝 Worksheet 5 of 10 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Intermediate level

What you'll learn in this worksheet:
Your progress through Multi-Stage Displacement
Worksheet 5 of 10 (44% complete)

Question 1

A person walks 16 m East, then 17 m South, then 24 m North. Find his displacement from the starting point.
Step-by-step:
1. Track net displacement:
- North-South: 7 m North
- East-West: 16 m East
2. Displacement = √(16² + 7²) = √305 = 17 m
3. Total distance walked = 57 m

Question 2

A person walks 15 m East, then 24 m West, then 23 m South, then 10 m North. Find his displacement from the starting point.
Step-by-step:
1. Track net displacement:
- North-South: -13 m South
- East-West: -9 m West
2. Displacement = √(-9² + -13²) = √250 = 16 m
3. Total distance walked = 72 m

Question 3

A person walks 13 m South, then 23 m East, then 14 m North, then 12 m North. Find his displacement from the starting point.
Step-by-step:
1. Track net displacement:
- North-South: 13 m North
- East-West: 23 m East
2. Displacement = √(23² + 13²) = √698 = 26 m
3. Total distance walked = 62 m

Question 4

A person walks 22 m West, then 11 m South, then 12 m East, then 21 m West. Find his displacement from the starting point.
Step-by-step:
1. Track net displacement:
- North-South: -11 m South
- East-West: -31 m West
2. Displacement = √(-31² + -11²) = √1082 = 33 m
3. Total distance walked = 66 m

Question 5

A person walks 18 m South, then 17 m North, then 22 m East. Find his displacement from the starting point.
Step-by-step:
1. Track net displacement:
- North-South: -1 m South
- East-West: 22 m East
2. Displacement = √(22² + -1²) = √485 = 22 m
3. Total distance walked = 57 m

Question 6

A person walks 19 m North, then 17 m East, then 24 m East. Find his displacement from the starting point.
Step-by-step:
1. Track net displacement:
- North-South: 19 m North
- East-West: 41 m East
2. Displacement = √(41² + 19²) = √2042 = 45 m
3. Total distance walked = 60 m

Question 7

A person walks 20 m East, then 19 m West, then 24 m North, then 9 m West. Find his displacement from the starting point.
Step-by-step:
1. Track net displacement:
- North-South: 24 m North
- East-West: -8 m West
2. Displacement = √(-8² + 24²) = √640 = 25 m
3. Total distance walked = 72 m

Question 8

A person walks 24 m South, then 15 m South, then 20 m East, then 23 m North. Find his displacement from the starting point.
Step-by-step:
1. Track net displacement:
- North-South: -16 m South
- East-West: 20 m East
2. Displacement = √(20² + -16²) = √656 = 26 m
3. Total distance walked = 82 m

Question 9

A person walks 20 m West, then 24 m North, then 14 m South, then 15 m North. Find his displacement from the starting point.
Step-by-step:
1. Track net displacement:
- North-South: 25 m North
- East-West: -20 m West
2. Displacement = √(-20² + 25²) = √1025 = 32 m
3. Total distance walked = 73 m

Question 10

A person walks 11 m North, then 9 m West, then 22 m North. Find his displacement from the starting point.
Step-by-step:
1. Track net displacement:
- North-South: 33 m North
- East-West: -9 m West
2. Displacement = √(-9² + 33²) = √1170 = 34 m
3. Total distance walked = 42 m

Question 11

A person walks 23 m West, then 24 m South, then 14 m West. Find his displacement from the starting point.
Step-by-step:
1. Track net displacement:
- North-South: -24 m South
- East-West: -37 m West
2. Displacement = √(-37² + -24²) = √1945 = 44 m
3. Total distance walked = 61 m

Question 12

A person walks 8 m East, then 14 m East, then 19 m West. Find his displacement from the starting point.
Step-by-step:
1. Track net displacement:
- North-South: 0 m 0
- East-West: 3 m East
2. Displacement = √(3² + 0²) = √9 = 3 m
3. Total distance walked = 41 m

Question 13

A person walks 14 m West, then 8 m East, then 10 m South, then 12 m East. Find his displacement from the starting point.
Step-by-step:
1. Track net displacement:
- North-South: -10 m South
- East-West: 6 m East
2. Displacement = √(6² + -10²) = √136 = 12 m
3. Total distance walked = 44 m

Question 14

A person walks 12 m East, then 20 m South, then 12 m South. Find his displacement from the starting point.
Step-by-step:
1. Track net displacement:
- North-South: -32 m South
- East-West: 12 m East
2. Displacement = √(12² + -32²) = √1168 = 34 m
3. Total distance walked = 44 m

Question 15

A person walks 11 m East, then 20 m East, then 19 m North. Find his displacement from the starting point.
Step-by-step:
1. Track net displacement:
- North-South: 19 m North
- East-West: 31 m East
2. Displacement = √(31² + 19²) = √1322 = 36 m
3. Total distance walked = 50 m

Question 16

A person walks 21 m North, then 8 m North, then 25 m East, then 20 m South. Find his displacement from the starting point.
Step-by-step:
1. Track net displacement:
- North-South: 9 m North
- East-West: 25 m East
2. Displacement = √(25² + 9²) = √706 = 27 m
3. Total distance walked = 74 m

Question 17

A person walks 11 m West, then 11 m West, then 9 m North, then 11 m North. Find his displacement from the starting point.
Step-by-step:
1. Track net displacement:
- North-South: 20 m North
- East-West: -22 m West
2. Displacement = √(-22² + 20²) = √884 = 30 m
3. Total distance walked = 42 m

Question 18

A person walks 21 m West, then 10 m West, then 12 m West. Find his displacement from the starting point.
Step-by-step:
1. Track net displacement:
- North-South: 0 m 0
- East-West: -43 m West
2. Displacement = √(-43² + 0²) = √1849 = 43 m
3. Total distance walked = 43 m

Question 19

A person walks 17 m East, then 24 m South, then 25 m West. Find his displacement from the starting point.
Step-by-step:
1. Track net displacement:
- North-South: -24 m South
- East-West: -8 m West
2. Displacement = √(-8² + -24²) = √640 = 25 m
3. Total distance walked = 66 m

Question 20

A person walks 21 m South, then 19 m North, then 11 m North, then 22 m West. Find his displacement from the starting point.
Step-by-step:
1. Track net displacement:
- North-South: 9 m North
- East-West: -22 m West
2. Displacement = √(-22² + 9²) = √565 = 24 m
3. Total distance walked = 73 m
Previous Worksheet Next Worksheet