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 emily’s height above the ground over time?

Explanation:

Step1: Analyze Initial Height

Emily starts at a third - floor apartment, so her initial height above the ground is non - zero. In the second graph, the initial height (when time = 0) is zero, which does not match Emily's starting point. In the first graph, the initial height is non - zero, which is consistent with her starting at a third - floor apartment.

Step2: Analyze Motion Phases

• First, she walks downstairs: Her height above the ground should decrease over time until she reaches the bottom of the stairs (height near zero).
• Then, she rushes upstairs: Her height above the ground should increase back to the height of the third floor.
• Then, she races back down: Her height above the ground should decrease again to near zero.

The first graph shows a non - zero initial height, a decrease to near zero (walking downstairs), an increase back to a non - zero height (rushing upstairs), and then a decrease to near zero (racing back down). The second graph has an incorrect initial height of zero.

Answer:

The first graph (the one on the left)