Graphical Analysis and applied problems

🎯 Class Objective:

The student compares position–time and velocity–time graphs, identifies similarities and differences, and judges the motion type by limiting the classification to the defining graphical features of uniform rectilinear motion.

📊 Quantitative Questions — Position vs Time Graph

1. What is the total displacement of the object?
   (From initial to final position)

2. Calculate the speed of the object (m/s).
   (Use slope = Δx / Δt)

3. What is the position of the object at t = 4 s?

4. At what time does the object reach 15 m?

5. How long does it take the object to travel the first 10 meters?

6. If the motion continues at the same rate, what will be the position at t = 15 s?

7. How far does the object travel between t = 2 s and t = 8 s?

8. What is the average speed during the entire motion?

9. Is acceleration present? Justify quantitatively.

📊 Quantitative Questions — Velocity vs Time Graph

1. What is the velocity of the object?

2. Calculate the displacement during the first 7s interval.

3. How far does the object travel in the first 4 seconds?

4. What is the displacement between t = 2 s and t = 8 s?

5. What is the acceleration of the object?

6. If the motion continues for 15 s, what will be the total displacement?