ScienceAges 10-12

Acceleration & velocity change

Use a = (v − u) ÷ t to calculate uniform acceleration from initial velocity, final velocity and time. Review suitability for your learners before teaching.

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Worksheet StudioPractice pack · Ages 10-12

Acceleration & velocity change

Take your time. Show your thinking.

1. A car accelerates uniformly from 4 m/s to 12 m/s in 8 s. Calculate its acceleration in m/s².
u = 4 m/s → v = 12 m/s · t = 8 s
2. A car accelerates uniformly from 15 m/s to 31 m/s in 4 s. Calculate its acceleration in m/s².
u = 15 m/s → v = 31 m/s · t = 4 s
3. A car accelerates uniformly from 5 m/s to 45 m/s in 5 s. Calculate its acceleration in m/s².
u = 5 m/s → v = 45 m/s · t = 5 s
4. A car accelerates uniformly from 4 m/s to 16 m/s in 12 s. Calculate its acceleration in m/s².
u = 4 m/s → v = 16 m/s · t = 12 s
5. A car accelerates uniformly from 19 m/s to 29 m/s in 2 s. Calculate its acceleration in m/s².
u = 19 m/s → v = 29 m/s · t = 2 s
6. A car accelerates uniformly from 8 m/s to 40 m/s in 8 s. Calculate its acceleration in m/s².
u = 8 m/s → v = 40 m/s · t = 8 s
7. A car accelerates uniformly from 12 m/s to 66 m/s in 6 s. Calculate its acceleration in m/s².
u = 12 m/s → v = 66 m/s · t = 6 s
8. A car accelerates uniformly from 10 m/s to 98 m/s in 11 s. Calculate its acceleration in m/s².
u = 10 m/s → v = 98 m/s · t = 11 s
9. A car accelerates uniformly from 15 m/s to 47 m/s in 8 s. Calculate its acceleration in m/s².
u = 15 m/s → v = 47 m/s · t = 8 s
10. A car accelerates uniformly from 3 m/s to 51 m/s in 8 s. Calculate its acceleration in m/s².
u = 3 m/s → v = 51 m/s · t = 8 s
11. A car accelerates uniformly from 9 m/s to 41 m/s in 8 s. Calculate its acceleration in m/s².
u = 9 m/s → v = 41 m/s · t = 8 s
12. A car accelerates uniformly from 10 m/s to 100 m/s in 10 s. Calculate its acceleration in m/s².
u = 10 m/s → v = 100 m/s · t = 10 s

12 questions · Seed 44 · Age guidance, not curriculum certification

View the answer key

Worksheet StudioAnswer key · Ages 10-12

Acceleration & velocity change

Answers and reasoning. Review before teaching.

1. A car accelerates uniformly from 4 m/s to 12 m/s in 8 s. Calculate its acceleration in m/s².
1 m/s²
Acceleration a = (v − u) ÷ t = (12 − 4) ÷ 8 = 1 m/s².
2. A car accelerates uniformly from 15 m/s to 31 m/s in 4 s. Calculate its acceleration in m/s².
4 m/s²
Acceleration a = (v − u) ÷ t = (31 − 15) ÷ 4 = 4 m/s².
3. A car accelerates uniformly from 5 m/s to 45 m/s in 5 s. Calculate its acceleration in m/s².
8 m/s²
Acceleration a = (v − u) ÷ t = (45 − 5) ÷ 5 = 8 m/s².
4. A car accelerates uniformly from 4 m/s to 16 m/s in 12 s. Calculate its acceleration in m/s².
1 m/s²
Acceleration a = (v − u) ÷ t = (16 − 4) ÷ 12 = 1 m/s².
5. A car accelerates uniformly from 19 m/s to 29 m/s in 2 s. Calculate its acceleration in m/s².
5 m/s²
Acceleration a = (v − u) ÷ t = (29 − 19) ÷ 2 = 5 m/s².
6. A car accelerates uniformly from 8 m/s to 40 m/s in 8 s. Calculate its acceleration in m/s².
4 m/s²
Acceleration a = (v − u) ÷ t = (40 − 8) ÷ 8 = 4 m/s².
7. A car accelerates uniformly from 12 m/s to 66 m/s in 6 s. Calculate its acceleration in m/s².
9 m/s²
Acceleration a = (v − u) ÷ t = (66 − 12) ÷ 6 = 9 m/s².
8. A car accelerates uniformly from 10 m/s to 98 m/s in 11 s. Calculate its acceleration in m/s².
8 m/s²
Acceleration a = (v − u) ÷ t = (98 − 10) ÷ 11 = 8 m/s².
9. A car accelerates uniformly from 15 m/s to 47 m/s in 8 s. Calculate its acceleration in m/s².
4 m/s²
Acceleration a = (v − u) ÷ t = (47 − 15) ÷ 8 = 4 m/s².
10. A car accelerates uniformly from 3 m/s to 51 m/s in 8 s. Calculate its acceleration in m/s².
6 m/s²
Acceleration a = (v − u) ÷ t = (51 − 3) ÷ 8 = 6 m/s².
11. A car accelerates uniformly from 9 m/s to 41 m/s in 8 s. Calculate its acceleration in m/s².
4 m/s²
Acceleration a = (v − u) ÷ t = (41 − 9) ÷ 8 = 4 m/s².
12. A car accelerates uniformly from 10 m/s to 100 m/s in 10 s. Calculate its acceleration in m/s².
9 m/s²
Acceleration a = (v − u) ÷ t = (100 − 10) ÷ 10 = 9 m/s².

12 questions · Seed 44 · Age guidance, not curriculum certification

Worksheet StudioPractice pack · Ages 10-12

Acceleration & velocity change

Take your time. Show your thinking.

1. A car accelerates uniformly from 4 m/s to 12 m/s in 8 s. Calculate its acceleration in m/s².
u = 4 m/s → v = 12 m/s · t = 8 s
2. A car accelerates uniformly from 15 m/s to 31 m/s in 4 s. Calculate its acceleration in m/s².
u = 15 m/s → v = 31 m/s · t = 4 s
3. A car accelerates uniformly from 5 m/s to 45 m/s in 5 s. Calculate its acceleration in m/s².
u = 5 m/s → v = 45 m/s · t = 5 s
4. A car accelerates uniformly from 4 m/s to 16 m/s in 12 s. Calculate its acceleration in m/s².
u = 4 m/s → v = 16 m/s · t = 12 s
5. A car accelerates uniformly from 19 m/s to 29 m/s in 2 s. Calculate its acceleration in m/s².
u = 19 m/s → v = 29 m/s · t = 2 s
6. A car accelerates uniformly from 8 m/s to 40 m/s in 8 s. Calculate its acceleration in m/s².
u = 8 m/s → v = 40 m/s · t = 8 s
7. A car accelerates uniformly from 12 m/s to 66 m/s in 6 s. Calculate its acceleration in m/s².
u = 12 m/s → v = 66 m/s · t = 6 s
8. A car accelerates uniformly from 10 m/s to 98 m/s in 11 s. Calculate its acceleration in m/s².
u = 10 m/s → v = 98 m/s · t = 11 s
9. A car accelerates uniformly from 15 m/s to 47 m/s in 8 s. Calculate its acceleration in m/s².
u = 15 m/s → v = 47 m/s · t = 8 s
10. A car accelerates uniformly from 3 m/s to 51 m/s in 8 s. Calculate its acceleration in m/s².
u = 3 m/s → v = 51 m/s · t = 8 s
11. A car accelerates uniformly from 9 m/s to 41 m/s in 8 s. Calculate its acceleration in m/s².
u = 9 m/s → v = 41 m/s · t = 8 s
12. A car accelerates uniformly from 10 m/s to 100 m/s in 10 s. Calculate its acceleration in m/s².
u = 10 m/s → v = 100 m/s · t = 10 s

12 questions · Seed 44 · Age guidance, not curriculum certification

Worksheet StudioAnswer key · Ages 10-12

Acceleration & velocity change

Answers and reasoning. Review before teaching.

1. A car accelerates uniformly from 4 m/s to 12 m/s in 8 s. Calculate its acceleration in m/s².
1 m/s²
Acceleration a = (v − u) ÷ t = (12 − 4) ÷ 8 = 1 m/s².
2. A car accelerates uniformly from 15 m/s to 31 m/s in 4 s. Calculate its acceleration in m/s².
4 m/s²
Acceleration a = (v − u) ÷ t = (31 − 15) ÷ 4 = 4 m/s².
3. A car accelerates uniformly from 5 m/s to 45 m/s in 5 s. Calculate its acceleration in m/s².
8 m/s²
Acceleration a = (v − u) ÷ t = (45 − 5) ÷ 5 = 8 m/s².
4. A car accelerates uniformly from 4 m/s to 16 m/s in 12 s. Calculate its acceleration in m/s².
1 m/s²
Acceleration a = (v − u) ÷ t = (16 − 4) ÷ 12 = 1 m/s².
5. A car accelerates uniformly from 19 m/s to 29 m/s in 2 s. Calculate its acceleration in m/s².
5 m/s²
Acceleration a = (v − u) ÷ t = (29 − 19) ÷ 2 = 5 m/s².
6. A car accelerates uniformly from 8 m/s to 40 m/s in 8 s. Calculate its acceleration in m/s².
4 m/s²
Acceleration a = (v − u) ÷ t = (40 − 8) ÷ 8 = 4 m/s².
7. A car accelerates uniformly from 12 m/s to 66 m/s in 6 s. Calculate its acceleration in m/s².
9 m/s²
Acceleration a = (v − u) ÷ t = (66 − 12) ÷ 6 = 9 m/s².
8. A car accelerates uniformly from 10 m/s to 98 m/s in 11 s. Calculate its acceleration in m/s².
8 m/s²
Acceleration a = (v − u) ÷ t = (98 − 10) ÷ 11 = 8 m/s².
9. A car accelerates uniformly from 15 m/s to 47 m/s in 8 s. Calculate its acceleration in m/s².
4 m/s²
Acceleration a = (v − u) ÷ t = (47 − 15) ÷ 8 = 4 m/s².
10. A car accelerates uniformly from 3 m/s to 51 m/s in 8 s. Calculate its acceleration in m/s².
6 m/s²
Acceleration a = (v − u) ÷ t = (51 − 3) ÷ 8 = 6 m/s².
11. A car accelerates uniformly from 9 m/s to 41 m/s in 8 s. Calculate its acceleration in m/s².
4 m/s²
Acceleration a = (v − u) ÷ t = (41 − 9) ÷ 8 = 4 m/s².
12. A car accelerates uniformly from 10 m/s to 100 m/s in 10 s. Calculate its acceleration in m/s².
9 m/s²
Acceleration a = (v − u) ÷ t = (100 − 10) ÷ 10 = 9 m/s².

12 questions · Seed 44 · Age guidance, not curriculum certification