Question

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Explanation:

Question 4a:

Step1: Sum sidewalk segments

$15\ \text{m} + 50\ \text{m} + 15\ \text{m} = 80\ \text{m}$

Question 4b:

Step1: Identify straight-line distance

Displacement is the straight-line distance between the two doors, which is given as $50\ \text{m}$ (direction: East, or from House A to House B)

Question 5a:

Step1: Calculate total distance

$2\ \text{miles} + 5\ \text{miles} = 7\ \text{miles}$

Step2: Convert time to hours

$40\ \text{minutes} = \frac{40}{60}\ \text{hours} = \frac{2}{3}\ \text{hours}$

Step3: Compute speed

$\text{Speed} = \frac{\text{Total Distance}}{\text{Time}} = \frac{7\ \text{miles}}{\frac{2}{3}\ \text{hours}} = 7 \times \frac{3}{2} = 10.5\ \text{miles per hour}$

Question 5b:

Step1: Calculate displacement

Let East be positive: $2\ \text{miles} - 5\ \text{miles} = -3\ \text{miles}$ (negative means West direction)

Step2: Compute velocity

$\text{Velocity} = \frac{\text{Displacement}}{\text{Time}} = \frac{-3\ \text{miles}}{\frac{2}{3}\ \text{hours}} = -3 \times \frac{3}{2} = -4.5\ \text{miles per hour}$ (or $4.5\ \text{miles per hour West}$)

Answer:

4a. $\boldsymbol{80\ \text{m}}$
4b. $\boldsymbol{50\ \text{m (from House A to House B/East)}}$
5a. $\boldsymbol{10.5\ \text{miles per hour}}$
5b. $\boldsymbol{4.5\ \text{miles per hour West}}$ (or $\boldsymbol{-4.5\ \text{miles per hour}}$ with East as positive)