Distance-time graph illustrating a car's journey with motion and rest periods.

Let’s solve each question step by step using the graph.

We know:
- The vertical axis is Distance (m) — how far the car has gone from point A.
- The horizontal axis is Time (s) — how many seconds have passed.
- Point A is at (0, 0) → start of journey.
- Point B is at (10, 200) → after 10 seconds, car is 200 m away.
- Point C is at (30, 200) → from 10 to 30 seconds, distance doesn’t change → car stopped.
- Point D is at (60, 500) → after 60 seconds, car is 500 m away.

---

Question 1: Calculate the speed of the car during the first 10 seconds

Speed = Distance ÷ Time

From A to B:
Distance = 200 m – 0 m = 200 m
Time = 10 s – 0 s = 10 s

Speed = 200 ÷ 10 = 20 m/s

✔ Answer for Q1: 20 m/s

---

Question 2: For how long did the car stop?

The car stops when the line is flat → that’s from B to C.

B is at 10 seconds, C is at 30 seconds.

Stop time = 30 – 10 = 20 seconds

✔ Answer for Q2: 20 seconds

---

Question 3: What is the speed of the car on its journey from C to D?

From C to D:
C is at (30, 200), D is at (60, 500)

Distance traveled = 500 – 200 = 300 m
Time taken = 60 – 30 = 30 s

Speed = 300 ÷ 30 = 10 m/s

✔ Answer for Q3: 10 m/s

---

Question 4: On which part of the journey did the car travel faster?

Compare speeds:

- AB: 20 m/s
- CD: 10 m/s

20 > 10 → so AB was faster.

✔ Answer for Q4: Part AB

---

Question 5: What is the average speed of the car for the whole journey?

Average speed = Total Distance ÷ Total Time

Total distance = 500 m (from A to D)
Total time = 60 s (from start to end)

Average speed = 500 ÷ 60 ≈ 8.33 m/s

(You can leave it as a fraction: 500/60 = 25/3 ≈ 8.33)

✔ Answer for Q5: 8.33 m/s (or 25/3 m/s)

---

Question 6: What is the average speed of the car for the time it was moving?

First, find total time the car was *moving*:

- Moving from A to B: 10 seconds
- Stopped from B to C: 20 seconds → skip this
- Moving from C to D: 30 seconds

Total moving time = 10 + 30 = 40 seconds

Total distance moved = still 500 m (it didn’t go backward)

Average speed while moving = 500 ÷ 40 = 12.5 m/s

✔ Answer for Q6: 12.5 m/s

---

Final Answer:
1. 20 m/s
2. 20 seconds
3. 10 m/s
4. Part AB
5. 8.33 m/s (or 25/3 m/s)
6. 12.5 m/s