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Page 45: Practice Problems

Exercise 1

Solution 1

Solution 2

Step 1

1 of 3

The total distance of a trip is the sum of all traversed distances: first, the distance from your house to the grocery store, then the distance from the store to your friend’s house, and finally, from your friend’s house to your house.

$$
begin{align*}
d&=4.3 text{km}+6.4 text{km}+2.1 text{km}\
&=quadboxed{12.8 text{km}}\
end{align*}
$$

Step 2

2 of 3

Notice that a part of your trip was in the negative direction (relative to the chosen origin of this particular coordinate system). Nevertheless, all parts of the trip, as well as the total distance, are positive, because $textbf{distance is defined as a positive quantity and has no association with direction.}$

Result

3 of 3

$$
begin{align*}
boxed{d=12.8 text{km}}\
end{align*}
$$

Step 1

1 of 2

$$
textbf{Concept:}
$$

The sum of the distance travelled is the sum of the distance of from your house to the grocery store, from grocery store to your friend’s house, and finally back to your house.

$$
textbf{Solution:}
$$

Add the distances:

Distance = 4.3 km +6.4 km +2.1 km = $text{color{#4257b2} boxed{bf 12.8 km}}$

Result

2 of 2

$$
12.8 km
$$

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Page 45: Practice Problems

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