Lesson 2.1 - Distance & Displacement - Classful - Free Printable

Let me work through each problem step by step.

Problem 1: "I do" - Carl walks from point A to point B, to point C, to point D

Looking at the rectangle:
- A to B = 4m (going down)
- B to C = 8m (going right)
- C to D = 4m (going up)

Carl's Distance:
Distance is the total ground covered, so I add all segments:
4m + 8m + 4m = 16 meters ✓

Carl's Displacement:
Displacement is how far out of place he is from start to finish, including direction.
- Start: Point A
- End: Point D
- From A to D directly: This is just going across the top = 8m to the East

So displacement = 8 meters East ✓

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Problem 2: "We do" - Ted starts at point C, drives to point D, and back to C

Looking at the path:
- C to D = 4m (going up)
- D to C = 4m (going back down)

Ted's Distance:
Total ground covered:
4m + 4m = 8 meters ✓

Ted's Displacement:
- Start: Point C
- End: Point C (he returned to where he started)
- Since he's back at his starting point, he's 0 meters out of place

So displacement = 0 meters ✓

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Problem 3: "You do" - Mike runs from C to D to A, then returns to point D

Let me trace this path:
- C to D = 4m (going up/north)
- D to A = 8m (going left/west)
- A to D = 8m (going right/east, returning to D)

Mike's Distance:
Total ground covered:
4m + 8m + 8m = 20 meters ✓

Mike's Displacement:
- Start: Point C
- End: Point D
- From C to D directly: 4m going North

So displacement = 4 meters North ✓

All the answers shown in the worksheet are correct!

Final Answer: All answers on the worksheet are correct:
- Carl: Distance = 16 meters, Displacement = 8 meters East
- Ted: Distance = 8 meters, Displacement = 0 meters
- Mike: Distance = 20 meters, Displacement = 4 meters North