Questions: Sarah has recorded the distances and times to walk around the outside of the park, from point A to point B.

Solution Steps

• Sarah walks 100 meters east in 75 seconds.
• Sarah walks 100 meters north in 105 seconds.
• The total distance walked is the sum of these two distances.
• The displacement is the straight-line distance from point A to point B.

• Distance east: 100 meters
• Distance north: 100 meters
• Total distance = 100 meters + 100 meters = 200 meters

• Displacement is the straight-line distance from A to B.
• Use the Pythagorean theorem: \( \text{Displacement} = \sqrt{(100^2 + 100^2)} \)
• \( \text{Displacement} = \sqrt{(10000 + 10000)} = \sqrt{20000} = 100\sqrt{2} \approx 141.42 \) meters

Final Answer