Final answer:
To sketch a graph of Clare's height from the ground floor as a function of time, we can assign specific values to each floor and represent her height as a step function.
Step-by-step explanation:
To sketch a possible graph of Clare's height from the ground floor as a function of time, we need to analyze her movements and determine how her height changes at different times.
Based on the given information, Clare starts on the first floor, then walks up to the third floor, then goes down to the basement, and finally returns to the ground level. Let's assign specific values for each floor, with the ground floor being 0.
We can assume that each floor is 3 meters high, so the first floor would be at a height of 3 meters, the second floor (third floor from the ground level) at 6 meters, the basement at -3 meters, and the ground level at 0 meters.
Now, let's assign time intervals to each portion of her movement. Suppose she spends 10 minutes (600 seconds) on each floor. We can represent her height as a step function:
From t=0 to t=600 seconds, her height is 0 meters (ground floor).
From t=600 to t=1200 seconds, her height is 3 meters (first floor).
From t=1200 to t=1800 seconds, her height is 6 meters (second floor).
From t=1800 to t=2400 seconds, her height is -3 meters (basement).
From t=2400 to t=3000 seconds, her height is 0 meters (ground floor).
To sketch the graph, we can plot these time-height points on a graph, with time on the x-axis and height on the y-axis. The graph will show steps representing changes in height at specific time intervals.