Let’s go step by step through the worksheet problems. I’ll solve each one carefully and check my work before giving the final answers.
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Problem 1 (Page 1, top left):
> You are traveling a distance of 20km.
> The first 10km took you 30 minutes.
> The second 10km took you 45 minutes.
> What was your average speed for the whole trip?
✔ Step-by-step:
Total distance = 10 km + 10 km =
20 km
Total time = 30 min + 45 min =
75 minutes
But speed is usually in km/hour, so convert 75 minutes to hours:
75 ÷ 60 =
1.25 hours
Average speed = total distance ÷ total time
= 20 km ÷ 1.25 h =
16 km/h
✔️ Checked: 1.25 × 16 = 20 → correct.
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Problem 2 (Page 1, bottom left — car diagram):
> A red car travels from point A to B (20m), then B to C (20m).
> It takes 4 seconds to go from A to B, and 6 seconds to go from B to C.
> What is the average speed for the whole journey?
✔ Step-by-step:
Total distance = 20 m + 20 m =
40 meters
Total time = 4 s + 6 s =
10 seconds
Average speed = total distance ÷ total time
= 40 m ÷ 10 s =
4 m/s
✔️ Checked: 10 × 4 = 40 → correct.
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Problem 3 (Page 2, middle — displacement vs distance):
> A person walks 3 steps forward, then 1 step back.
> Each step is 1 meter.
> What is their displacement? What is the distance traveled?
✔ Step-by-step:
Distance traveled = all steps added up = 3 + 1 =
4 meters
Displacement = net change in position from start.
Start at 0 → walk +3 → now at +3 → walk -1 → now at
+2
So displacement =
2 meters forward (or just 2 m)
✔️ Checked: Distance is total path; displacement is straight-line from start to end.
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Problem 4 (Page 3, right side — dog running):
> A dog runs 100m to the right, then 50m to the left.
> Total time = 15 seconds.
> Find:
> a) Distance traveled
> b) Displacement
> c) Average speed
> d) Average velocity
✔ Step-by-step:
a) Distance = 100 m + 50 m =
150 m
b) Displacement = 100 m right – 50 m left =
+50 m (to the right)
c) Average speed = total distance ÷ time = 150 m ÷ 15 s =
10 m/s
d) Average velocity = displacement ÷ time = 50 m ÷ 15 s ≈
3.33 m/s to the right
(We can write as 10/3 m/s or 3.33 m/s — both acceptable, but let’s use decimal for simplicity.)
✔️ Checked: All calculations match definitions.
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Problem 5 (Page 4, far right — school bus):
> A school bus leaves home at 8:00 am and returns at 3:00 pm.
> During that time, it traveled 200 km total.
> What is its average speed? Give answer in km/h.
✔ Step-by-step:
Time from 8:00 am to 3:00 pm = 7 hours
Total distance = 200 km
Average speed = 200 km ÷ 7 h ≈
28.57 km/h
(Rounded to two decimals — standard for this level.)
✔️ Checked: 7 × 28.57 ≈ 200 → yes.
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Problem 6 (Page 4, last question — plane):
> A plane traveled 2000 km in 5 hours.
> Then flew another 1000 km in 2.5 hours.
> What was its average speed for the entire trip?
✔ Step-by-step:
Total distance = 2000 + 1000 =
3000 km
Total time = 5 + 2.5 =
7.5 hours
Average speed = 3000 ÷ 7.5 =
400 km/h
✔️ Checked: 7.5 × 400 = 3000 → perfect.
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Final Answer:
1. 16 km/h
2. 4 m/s
3. Distance = 4 m, Displacement = 2 m
4. a) 150 m, b) 50 m right, c) 10 m/s, d) 3.33 m/s right
5. 28.57 km/h
6. 400 km/h
Parent Tip: Review the logic above to help your child master the concept of speed velocity worksheet.
