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 18 m/s to 25 m/s in 7 s. Calculate its acceleration in m/s².
u = 18 m/s → v = 25 m/s · t = 7 s
2. A car accelerates uniformly from 1 m/s to 31 m/s in 6 s. Calculate its acceleration in m/s².
u = 1 m/s → v = 31 m/s · t = 6 s
3. A car accelerates uniformly from 5 m/s to 13 m/s in 8 s. Calculate its acceleration in m/s².
u = 5 m/s → v = 13 m/s · t = 8 s
4. A car accelerates uniformly from 12 m/s to 28 m/s in 8 s. Calculate its acceleration in m/s².
u = 12 m/s → v = 28 m/s · t = 8 s
5. A car accelerates uniformly from 8 m/s to 62 m/s in 6 s. Calculate its acceleration in m/s².
u = 8 m/s → v = 62 m/s · t = 6 s
6. A car accelerates uniformly from 16 m/s to 21 m/s in 5 s. Calculate its acceleration in m/s².
u = 16 m/s → v = 21 m/s · t = 5 s
7. A car accelerates uniformly from 2 m/s to 86 m/s in 12 s. Calculate its acceleration in m/s².
u = 2 m/s → v = 86 m/s · t = 12 s
8. A car accelerates uniformly from 5 m/s to 17 m/s in 12 s. Calculate its acceleration in m/s².
u = 5 m/s → v = 17 m/s · t = 12 s
9. A car accelerates uniformly from 4 m/s to 39 m/s in 7 s. Calculate its acceleration in m/s².
u = 4 m/s → v = 39 m/s · t = 7 s
10. A car accelerates uniformly from 18 m/s to 68 m/s in 10 s. Calculate its acceleration in m/s².
u = 18 m/s → v = 68 m/s · t = 10 s
11. A car accelerates uniformly from 5 m/s to 45 m/s in 10 s. Calculate its acceleration in m/s².
u = 5 m/s → v = 45 m/s · t = 10 s
12. A car accelerates uniformly from 11 m/s to 53 m/s in 7 s. Calculate its acceleration in m/s².
u = 11 m/s → v = 53 m/s · t = 7 s

12 questions · Seed 51 · 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 18 m/s to 25 m/s in 7 s. Calculate its acceleration in m/s².
1 m/s²
Acceleration a = (v − u) ÷ t = (25 − 18) ÷ 7 = 1 m/s².
2. A car accelerates uniformly from 1 m/s to 31 m/s in 6 s. Calculate its acceleration in m/s².
5 m/s²
Acceleration a = (v − u) ÷ t = (31 − 1) ÷ 6 = 5 m/s².
3. A car accelerates uniformly from 5 m/s to 13 m/s in 8 s. Calculate its acceleration in m/s².
1 m/s²
Acceleration a = (v − u) ÷ t = (13 − 5) ÷ 8 = 1 m/s².
4. A car accelerates uniformly from 12 m/s to 28 m/s in 8 s. Calculate its acceleration in m/s².
2 m/s²
Acceleration a = (v − u) ÷ t = (28 − 12) ÷ 8 = 2 m/s².
5. A car accelerates uniformly from 8 m/s to 62 m/s in 6 s. Calculate its acceleration in m/s².
9 m/s²
Acceleration a = (v − u) ÷ t = (62 − 8) ÷ 6 = 9 m/s².
6. A car accelerates uniformly from 16 m/s to 21 m/s in 5 s. Calculate its acceleration in m/s².
1 m/s²
Acceleration a = (v − u) ÷ t = (21 − 16) ÷ 5 = 1 m/s².
7. A car accelerates uniformly from 2 m/s to 86 m/s in 12 s. Calculate its acceleration in m/s².
7 m/s²
Acceleration a = (v − u) ÷ t = (86 − 2) ÷ 12 = 7 m/s².
8. A car accelerates uniformly from 5 m/s to 17 m/s in 12 s. Calculate its acceleration in m/s².
1 m/s²
Acceleration a = (v − u) ÷ t = (17 − 5) ÷ 12 = 1 m/s².
9. A car accelerates uniformly from 4 m/s to 39 m/s in 7 s. Calculate its acceleration in m/s².
5 m/s²
Acceleration a = (v − u) ÷ t = (39 − 4) ÷ 7 = 5 m/s².
10. A car accelerates uniformly from 18 m/s to 68 m/s in 10 s. Calculate its acceleration in m/s².
5 m/s²
Acceleration a = (v − u) ÷ t = (68 − 18) ÷ 10 = 5 m/s².
11. A car accelerates uniformly from 5 m/s to 45 m/s in 10 s. Calculate its acceleration in m/s².
4 m/s²
Acceleration a = (v − u) ÷ t = (45 − 5) ÷ 10 = 4 m/s².
12. A car accelerates uniformly from 11 m/s to 53 m/s in 7 s. Calculate its acceleration in m/s².
6 m/s²
Acceleration a = (v − u) ÷ t = (53 − 11) ÷ 7 = 6 m/s².

12 questions · Seed 51 · 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 18 m/s to 25 m/s in 7 s. Calculate its acceleration in m/s².
u = 18 m/s → v = 25 m/s · t = 7 s
2. A car accelerates uniformly from 1 m/s to 31 m/s in 6 s. Calculate its acceleration in m/s².
u = 1 m/s → v = 31 m/s · t = 6 s
3. A car accelerates uniformly from 5 m/s to 13 m/s in 8 s. Calculate its acceleration in m/s².
u = 5 m/s → v = 13 m/s · t = 8 s
4. A car accelerates uniformly from 12 m/s to 28 m/s in 8 s. Calculate its acceleration in m/s².
u = 12 m/s → v = 28 m/s · t = 8 s
5. A car accelerates uniformly from 8 m/s to 62 m/s in 6 s. Calculate its acceleration in m/s².
u = 8 m/s → v = 62 m/s · t = 6 s
6. A car accelerates uniformly from 16 m/s to 21 m/s in 5 s. Calculate its acceleration in m/s².
u = 16 m/s → v = 21 m/s · t = 5 s
7. A car accelerates uniformly from 2 m/s to 86 m/s in 12 s. Calculate its acceleration in m/s².
u = 2 m/s → v = 86 m/s · t = 12 s
8. A car accelerates uniformly from 5 m/s to 17 m/s in 12 s. Calculate its acceleration in m/s².
u = 5 m/s → v = 17 m/s · t = 12 s
9. A car accelerates uniformly from 4 m/s to 39 m/s in 7 s. Calculate its acceleration in m/s².
u = 4 m/s → v = 39 m/s · t = 7 s
10. A car accelerates uniformly from 18 m/s to 68 m/s in 10 s. Calculate its acceleration in m/s².
u = 18 m/s → v = 68 m/s · t = 10 s
11. A car accelerates uniformly from 5 m/s to 45 m/s in 10 s. Calculate its acceleration in m/s².
u = 5 m/s → v = 45 m/s · t = 10 s
12. A car accelerates uniformly from 11 m/s to 53 m/s in 7 s. Calculate its acceleration in m/s².
u = 11 m/s → v = 53 m/s · t = 7 s

12 questions · Seed 51 · 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 18 m/s to 25 m/s in 7 s. Calculate its acceleration in m/s².
1 m/s²
Acceleration a = (v − u) ÷ t = (25 − 18) ÷ 7 = 1 m/s².
2. A car accelerates uniformly from 1 m/s to 31 m/s in 6 s. Calculate its acceleration in m/s².
5 m/s²
Acceleration a = (v − u) ÷ t = (31 − 1) ÷ 6 = 5 m/s².
3. A car accelerates uniformly from 5 m/s to 13 m/s in 8 s. Calculate its acceleration in m/s².
1 m/s²
Acceleration a = (v − u) ÷ t = (13 − 5) ÷ 8 = 1 m/s².
4. A car accelerates uniformly from 12 m/s to 28 m/s in 8 s. Calculate its acceleration in m/s².
2 m/s²
Acceleration a = (v − u) ÷ t = (28 − 12) ÷ 8 = 2 m/s².
5. A car accelerates uniformly from 8 m/s to 62 m/s in 6 s. Calculate its acceleration in m/s².
9 m/s²
Acceleration a = (v − u) ÷ t = (62 − 8) ÷ 6 = 9 m/s².
6. A car accelerates uniformly from 16 m/s to 21 m/s in 5 s. Calculate its acceleration in m/s².
1 m/s²
Acceleration a = (v − u) ÷ t = (21 − 16) ÷ 5 = 1 m/s².
7. A car accelerates uniformly from 2 m/s to 86 m/s in 12 s. Calculate its acceleration in m/s².
7 m/s²
Acceleration a = (v − u) ÷ t = (86 − 2) ÷ 12 = 7 m/s².
8. A car accelerates uniformly from 5 m/s to 17 m/s in 12 s. Calculate its acceleration in m/s².
1 m/s²
Acceleration a = (v − u) ÷ t = (17 − 5) ÷ 12 = 1 m/s².
9. A car accelerates uniformly from 4 m/s to 39 m/s in 7 s. Calculate its acceleration in m/s².
5 m/s²
Acceleration a = (v − u) ÷ t = (39 − 4) ÷ 7 = 5 m/s².
10. A car accelerates uniformly from 18 m/s to 68 m/s in 10 s. Calculate its acceleration in m/s².
5 m/s²
Acceleration a = (v − u) ÷ t = (68 − 18) ÷ 10 = 5 m/s².
11. A car accelerates uniformly from 5 m/s to 45 m/s in 10 s. Calculate its acceleration in m/s².
4 m/s²
Acceleration a = (v − u) ÷ t = (45 − 5) ÷ 10 = 4 m/s².
12. A car accelerates uniformly from 11 m/s to 53 m/s in 7 s. Calculate its acceleration in m/s².
6 m/s²
Acceleration a = (v − u) ÷ t = (53 − 11) ÷ 7 = 6 m/s².

12 questions · Seed 51 · Age guidance, not curriculum certification