← Measurement toolkit; position, distance, and displacement

Distance traveled: the whole path

In earlier grades you saw distance as how far something travels. Here the skill is pinned down: measure along the path, leg by leg.

A walker heads 40 m east along a sidewalk, then turns and walks 30 m back west. How much ground did the walker cover? Every leg counts: 40 m out plus 30 m back makes 70 m of walked path.

every leg adds to the pathleg 1: 40 m eastleg 2: 30 m westpath walked: 40 m + 30 m = 70 m

That whole-path length is called the distance traveled: the length of the whole path the object actually followed. To calculate it, add the length of every leg of the journey, whatever direction each leg points.

Turning around never subtracts: coming back adds path, it does not erase it. A distance carries no sign and no direction. It only says how much ground was covered.

A dog dashes 25 m north, then 15 m south, then 10 m north again. What total distance does the dog run?

Write down the values in the question:

legs of 25 m, 15 m, and 10 m

Write down the fact:

every leg adds to the path, whatever its direction

Add:

25 + 15 + 10 = 50

distance = 50 m

A shopper walks 60 m east along a sidewalk, then 20 m west. What distance does the shopper cover, in meters?

A swimmer crosses a 25 m pool and swims straight back to the starting wall. What distance does the swimmer cover, in meters?

A warehouse robot rolls 12 m forward, 5 m backward, then 3 m forward. What distance does the robot cover, in meters?

Your turn

A delivery cyclist rides 150 m east, then 150 m west, then 50 m east. What distance does the cyclist ride, in meters?

A security guard walks one complete loop around a rectangular building 90 m long and 60 m wide. What distance does the guard walk, in meters?

A bee flies from its hive to a flower 2.5 m away and straight back, and repeats this round trip 4 times in total. What distance does the bee fly, in meters?