Question

emily lives in a third-floor apartment. this morning, she walks downstairs to go to school. when she reaches the bottom of the stairs, she realizes that she forgot her spanish book! she rushes upstairs, quickly grabs the book, and then races back down again. which graph could show emilys height above the ground over time?

Explanation:

Step1: Analyze Initial Height

Emily starts at the third - floor, so her initial height above the ground is non - zero. In the first graph, the starting height is 0 (at the origin), which is incorrect. In the second graph, the starting height is non - zero, which matches her starting position (third - floor apartment).

Step2: Analyze Motion Phases

• First, she walks downstairs: Her height above the ground should decrease over time. In the second graph, the first segment is a decreasing line, which represents walking downstairs.
• Then, she rushes upstairs: Her height above the ground should increase over time. The second segment in the second graph is an increasing line, representing rushing upstairs.
• Then, she races back down: Her height above the ground should decrease over time. The third segment in the second graph is a decreasing line, representing racing back down. Also, when she grabs the book, there should be a short period (a horizontal line) where her height is constant (while she is grabbing the book), which is present in the second graph.

Answer:

The Middle Graph (the second graph shown)