Guided Sketch Creation for Giulia's Movement
I can guide you on how to create the sketch based on the information given in the question.
Here's the process in steps:
1. **Choose Coordinates**: First, pick a starting point for Giulia on your sketch. This point will also be the origin of your coordinate system (0,0). Let's say Giulia is running in the positive x-direction since she is running eastward.
2. **Plot the Initial Position**: At this origin, sketch Giulia at time 0.
3. **Calculate the First Position After 5 Seconds**: Considering her speed is 4.5 m/s, in 5 seconds, she will cover a distance of \( 4.5 \frac{m}{s} \times 5s = 22.5 m \).
4. **Plot the Position After 5 Seconds**: Move 22.5 units along the positive x-direction from the origin, and make a point to represent her position after 5 seconds. This is the point A.
5. **Calculate the Position After 2.5 More Seconds**: In the next 2.5 seconds, Giulia will cover an additional distance of \( 4.5 \frac{m}{s} \times 2.5s = 11.25 m \).
6. **Plot the Final Position**: From point A, move a further 11.25 units along the positive x-direction, and make a point to represent her position after 7.5 seconds in total. This is the point B.
7. **Draw the Path**: Draw a straight line from the origin through points A and B to represent her path.
8. **Label the Plot**: Mark the positions on the path with their respective times (5 seconds at A, 7.5 seconds at B).
9. **Show Coordinate Choice**: Indicate the direction of the axes. The x-axis should be marked in the eastward direction, and the y-axis should be perpendicular to it.
That completes the sketch. You've now shown Giulia's movement along a straight-line path eastward into the sunrise, and you've accounted for the time intervals requested in the problem.
