Question 1
A person walks 22m East, then 38m East, then 14m East. What is the shortest distance between his starting and ending points?
Net displacement: (74, 0). Shortest distance = √(74² + 0²) = 74.0 m.
Shortest Distance Beginner-Intermediate Worksheet: Focus on common variations practice Shortest Distance BEGINNER INTERMEDIATE
Level up your Shortest Distance 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: shortest distance for competitive exams, how to solve shortest distance, shortest distance tricks.
What you'll learn in this worksheet:
- Understand the logic behind how to solve shortest distance
- Learn step-by-step approaches to common variations practice
- Bridge the gap between basic and advanced concepts
- Handle problems with increasing complexity
- Master shortest distance for competitive exams through focused practice
Your progress through Shortest Distance
Worksheet 4 of 10 (33% complete)
Question 2
A person walks 34m North, then 12m South, then 16m East. What is the shortest distance between his starting and ending points?
Net displacement: (16, 22). Shortest distance = √(16² + 22²) = 27.2 m.
Question 3
A person walks 29m North, then 33m South, then 10m East. What is the shortest distance between his starting and ending points?
Net displacement: (10, -4). Shortest distance = √(10² + -4²) = 10.8 m.
Question 4
A person walks 25m East, then 11m West, then 26m East. What is the shortest distance between his starting and ending points?
Net displacement: (40, 0). Shortest distance = √(40² + 0²) = 40.0 m.
Question 5
A person walks 27m West, then 29m South, then 10m South. What is the shortest distance between his starting and ending points?
Net displacement: (-27, -39). Shortest distance = √(-27² + -39²) = 47.4 m.
Question 6
A person walks 22m North, then 22m South, then 19m South. What is the shortest distance between his starting and ending points?
Net displacement: (0, -19). Shortest distance = √(0² + -19²) = 19.0 m.
Question 7
A person walks 18m East, then 16m East, then 28m South. What is the shortest distance between his starting and ending points?
Net displacement: (34, -28). Shortest distance = √(34² + -28²) = 44.0 m.
Question 8
A person walks 33m North, then 23m East. What is the shortest distance between his starting and ending points?
Net displacement: (23, 33). Shortest distance = √(23² + 33²) = 40.2 m.
Question 9
A person walks 34m South, then 26m South, then 16m North. What is the shortest distance between his starting and ending points?
Net displacement: (0, -44). Shortest distance = √(0² + -44²) = 44.0 m.
Question 10
A person walks 12m North, then 40m South, then 11m West. What is the shortest distance between his starting and ending points?
Net displacement: (-11, -28). Shortest distance = √(-11² + -28²) = 30.1 m.
Question 11
A person walks 20m East, then 35m South. What is the shortest distance between his starting and ending points?
Net displacement: (20, -35). Shortest distance = √(20² + -35²) = 40.3 m.
Question 12
A person walks 36m South, then 27m North. What is the shortest distance between his starting and ending points?
Net displacement: (0, -9). Shortest distance = √(0² + -9²) = 9.0 m.
Question 13
A person walks 21m West, then 14m West. What is the shortest distance between his starting and ending points?
Net displacement: (-35, 0). Shortest distance = √(-35² + 0²) = 35.0 m.
Question 14
A person walks 20m East, then 29m South. What is the shortest distance between his starting and ending points?
Net displacement: (20, -29). Shortest distance = √(20² + -29²) = 35.2 m.
Question 15
A person walks 20m South, then 14m South, then 16m East. What is the shortest distance between his starting and ending points?
Net displacement: (16, -34). Shortest distance = √(16² + -34²) = 37.6 m.
Question 16
A person walks 19m South, then 37m North, then 24m West. What is the shortest distance between his starting and ending points?
Net displacement: (-24, 18). Shortest distance = √(-24² + 18²) = 30.0 m.
Question 17
A person walks 26m North, then 11m North. What is the shortest distance between his starting and ending points?
Net displacement: (0, 37). Shortest distance = √(0² + 37²) = 37.0 m.
Question 18
A person walks 16m South, then 36m West, then 28m East. What is the shortest distance between his starting and ending points?
Net displacement: (-8, -16). Shortest distance = √(-8² + -16²) = 17.9 m.
Question 19
A person walks 27m East, then 26m North, then 17m North. What is the shortest distance between his starting and ending points?
Net displacement: (27, 43). Shortest distance = √(27² + 43²) = 50.8 m.
Question 20
A person walks 13m West, then 26m East. What is the shortest distance between his starting and ending points?
Net displacement: (13, 0). Shortest distance = √(13² + 0²) = 13.0 m.
📝 Continue your Shortest Distance practice. Worksheet 4 focuses on common variations practice.