Let’s solve each question step by step using the
distance-time graph provided.
---
📊 Understanding the Graph:
-
X-axis: Time (seconds) — from 0 to 60 s
-
Y-axis: Distance (meters) — from 0 to 500 m
-
Points:
-
A: (0, 0) — start
-
B: (10, 200) — after 10 seconds, car is at 200 m
-
C: (30, 200) — car stops here until 30 s
-
D: (60, 500) — end of journey at 60 seconds, 500 m
---
##
✔ Question 1: Calculate the speed of the car during the first 10 seconds
> Speed = Distance ÷ Time
From A to B:
- Distance traveled = 200 m – 0 m =
200 m
- Time taken = 10 s – 0 s =
10 s
→ Speed = 200 m / 10 s =
20 m/s
✔ Answer: 20 m/s
---
##
✔ Question 2: For how long did the car stop?
> The flat line BC means the car is not moving (distance constant).
From B to C:
- Time at B = 10 s
- Time at C = 30 s
→ Stop duration = 30 s – 10 s =
20 seconds
✔ Answer: 20 seconds
---
##
✔ Question 3: What is the speed of the car on its journey from C to D?
From C to D:
- Distance traveled = 500 m – 200 m =
300 m
- Time taken = 60 s – 30 s =
30 s
→ Speed = 300 m / 30 s =
10 m/s
✔ Answer: 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
→
AB segment is faster.
✔ Answer: From A to B
---
##
✔ 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 0 to 60 s)
→ Average speed = 500 m / 60 s ≈
8.33 m/s
✔ Answer: Approximately 8.33 m/s
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##
✔ Question 6: What is the average speed of the car for the time it was moving?
> We exclude the stop time (BC). Only count time when car was actually moving.
Moving time:
- AB: 10 s
- CD: 30 s
→ Total moving time = 10 + 30 =
40 seconds
Total distance = 500 m (still same)
→ Average speed while moving = 500 m / 40 s =
12.5 m/s
✔ Answer: 12.5 m/s
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## 🧾 Final Answers Summary:
1.
20 m/s
2.
20 seconds
3.
10 m/s
4.
From A to B
5.
≈8.33 m/s
6.
12.5 m/s
Let me know if you’d like a visual explanation or further breakdown!
Parent Tip: Review the logic above to help your child master the concept of velocity time graph worksheet.
