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 8 m/s to 78 m/s in 7 s. Calculate its acceleration in m/s².
u = 8 m/s → v = 78 m/s · t = 7 s
2. A car accelerates uniformly from 4 m/s to 104 m/s in 10 s. Calculate its acceleration in m/s².
u = 4 m/s → v = 104 m/s · t = 10 s
3. A car accelerates uniformly from 1 m/s to 13 m/s in 12 s. Calculate its acceleration in m/s².
u = 1 m/s → v = 13 m/s · t = 12 s
4. A car accelerates uniformly from 11 m/s to 43 m/s in 4 s. Calculate its acceleration in m/s².
u = 11 m/s → v = 43 m/s · t = 4 s
5. A car accelerates uniformly from 6 m/s to 12 m/s in 6 s. Calculate its acceleration in m/s².
u = 6 m/s → v = 12 m/s · t = 6 s
6. A car accelerates uniformly from 3 m/s to 15 m/s in 6 s. Calculate its acceleration in m/s².
u = 3 m/s → v = 15 m/s · t = 6 s
7. A car accelerates uniformly from 12 m/s to 24 m/s in 3 s. Calculate its acceleration in m/s².
u = 12 m/s → v = 24 m/s · t = 3 s
8. A car accelerates uniformly from 17 m/s to 97 m/s in 10 s. Calculate its acceleration in m/s².
u = 17 m/s → v = 97 m/s · t = 10 s
9. A car accelerates uniformly from 12 m/s to 20 m/s in 2 s. Calculate its acceleration in m/s².
u = 12 m/s → v = 20 m/s · t = 2 s
10. A car accelerates uniformly from 14 m/s to 54 m/s in 4 s. Calculate its acceleration in m/s².
u = 14 m/s → v = 54 m/s · t = 4 s
11. A car accelerates uniformly from 19 m/s to 43 m/s in 3 s. Calculate its acceleration in m/s².
u = 19 m/s → v = 43 m/s · t = 3 s
12. A car accelerates uniformly from 20 m/s to 65 m/s in 9 s. Calculate its acceleration in m/s².
u = 20 m/s → v = 65 m/s · t = 9 s

12 questions · Seed 61 · 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 8 m/s to 78 m/s in 7 s. Calculate its acceleration in m/s².
10 m/s²
Acceleration a = (v − u) ÷ t = (78 − 8) ÷ 7 = 10 m/s².
2. A car accelerates uniformly from 4 m/s to 104 m/s in 10 s. Calculate its acceleration in m/s².
10 m/s²
Acceleration a = (v − u) ÷ t = (104 − 4) ÷ 10 = 10 m/s².
3. A car accelerates uniformly from 1 m/s to 13 m/s in 12 s. Calculate its acceleration in m/s².
1 m/s²
Acceleration a = (v − u) ÷ t = (13 − 1) ÷ 12 = 1 m/s².
4. A car accelerates uniformly from 11 m/s to 43 m/s in 4 s. Calculate its acceleration in m/s².
8 m/s²
Acceleration a = (v − u) ÷ t = (43 − 11) ÷ 4 = 8 m/s².
5. A car accelerates uniformly from 6 m/s to 12 m/s in 6 s. Calculate its acceleration in m/s².
1 m/s²
Acceleration a = (v − u) ÷ t = (12 − 6) ÷ 6 = 1 m/s².
6. A car accelerates uniformly from 3 m/s to 15 m/s in 6 s. Calculate its acceleration in m/s².
2 m/s²
Acceleration a = (v − u) ÷ t = (15 − 3) ÷ 6 = 2 m/s².
7. A car accelerates uniformly from 12 m/s to 24 m/s in 3 s. Calculate its acceleration in m/s².
4 m/s²
Acceleration a = (v − u) ÷ t = (24 − 12) ÷ 3 = 4 m/s².
8. A car accelerates uniformly from 17 m/s to 97 m/s in 10 s. Calculate its acceleration in m/s².
8 m/s²
Acceleration a = (v − u) ÷ t = (97 − 17) ÷ 10 = 8 m/s².
9. A car accelerates uniformly from 12 m/s to 20 m/s in 2 s. Calculate its acceleration in m/s².
4 m/s²
Acceleration a = (v − u) ÷ t = (20 − 12) ÷ 2 = 4 m/s².
10. A car accelerates uniformly from 14 m/s to 54 m/s in 4 s. Calculate its acceleration in m/s².
10 m/s²
Acceleration a = (v − u) ÷ t = (54 − 14) ÷ 4 = 10 m/s².
11. A car accelerates uniformly from 19 m/s to 43 m/s in 3 s. Calculate its acceleration in m/s².
8 m/s²
Acceleration a = (v − u) ÷ t = (43 − 19) ÷ 3 = 8 m/s².
12. A car accelerates uniformly from 20 m/s to 65 m/s in 9 s. Calculate its acceleration in m/s².
5 m/s²
Acceleration a = (v − u) ÷ t = (65 − 20) ÷ 9 = 5 m/s².

12 questions · Seed 61 · 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 8 m/s to 78 m/s in 7 s. Calculate its acceleration in m/s².
u = 8 m/s → v = 78 m/s · t = 7 s
2. A car accelerates uniformly from 4 m/s to 104 m/s in 10 s. Calculate its acceleration in m/s².
u = 4 m/s → v = 104 m/s · t = 10 s
3. A car accelerates uniformly from 1 m/s to 13 m/s in 12 s. Calculate its acceleration in m/s².
u = 1 m/s → v = 13 m/s · t = 12 s
4. A car accelerates uniformly from 11 m/s to 43 m/s in 4 s. Calculate its acceleration in m/s².
u = 11 m/s → v = 43 m/s · t = 4 s
5. A car accelerates uniformly from 6 m/s to 12 m/s in 6 s. Calculate its acceleration in m/s².
u = 6 m/s → v = 12 m/s · t = 6 s
6. A car accelerates uniformly from 3 m/s to 15 m/s in 6 s. Calculate its acceleration in m/s².
u = 3 m/s → v = 15 m/s · t = 6 s
7. A car accelerates uniformly from 12 m/s to 24 m/s in 3 s. Calculate its acceleration in m/s².
u = 12 m/s → v = 24 m/s · t = 3 s
8. A car accelerates uniformly from 17 m/s to 97 m/s in 10 s. Calculate its acceleration in m/s².
u = 17 m/s → v = 97 m/s · t = 10 s
9. A car accelerates uniformly from 12 m/s to 20 m/s in 2 s. Calculate its acceleration in m/s².
u = 12 m/s → v = 20 m/s · t = 2 s
10. A car accelerates uniformly from 14 m/s to 54 m/s in 4 s. Calculate its acceleration in m/s².
u = 14 m/s → v = 54 m/s · t = 4 s
11. A car accelerates uniformly from 19 m/s to 43 m/s in 3 s. Calculate its acceleration in m/s².
u = 19 m/s → v = 43 m/s · t = 3 s
12. A car accelerates uniformly from 20 m/s to 65 m/s in 9 s. Calculate its acceleration in m/s².
u = 20 m/s → v = 65 m/s · t = 9 s

12 questions · Seed 61 · 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 8 m/s to 78 m/s in 7 s. Calculate its acceleration in m/s².
10 m/s²
Acceleration a = (v − u) ÷ t = (78 − 8) ÷ 7 = 10 m/s².
2. A car accelerates uniformly from 4 m/s to 104 m/s in 10 s. Calculate its acceleration in m/s².
10 m/s²
Acceleration a = (v − u) ÷ t = (104 − 4) ÷ 10 = 10 m/s².
3. A car accelerates uniformly from 1 m/s to 13 m/s in 12 s. Calculate its acceleration in m/s².
1 m/s²
Acceleration a = (v − u) ÷ t = (13 − 1) ÷ 12 = 1 m/s².
4. A car accelerates uniformly from 11 m/s to 43 m/s in 4 s. Calculate its acceleration in m/s².
8 m/s²
Acceleration a = (v − u) ÷ t = (43 − 11) ÷ 4 = 8 m/s².
5. A car accelerates uniformly from 6 m/s to 12 m/s in 6 s. Calculate its acceleration in m/s².
1 m/s²
Acceleration a = (v − u) ÷ t = (12 − 6) ÷ 6 = 1 m/s².
6. A car accelerates uniformly from 3 m/s to 15 m/s in 6 s. Calculate its acceleration in m/s².
2 m/s²
Acceleration a = (v − u) ÷ t = (15 − 3) ÷ 6 = 2 m/s².
7. A car accelerates uniformly from 12 m/s to 24 m/s in 3 s. Calculate its acceleration in m/s².
4 m/s²
Acceleration a = (v − u) ÷ t = (24 − 12) ÷ 3 = 4 m/s².
8. A car accelerates uniformly from 17 m/s to 97 m/s in 10 s. Calculate its acceleration in m/s².
8 m/s²
Acceleration a = (v − u) ÷ t = (97 − 17) ÷ 10 = 8 m/s².
9. A car accelerates uniformly from 12 m/s to 20 m/s in 2 s. Calculate its acceleration in m/s².
4 m/s²
Acceleration a = (v − u) ÷ t = (20 − 12) ÷ 2 = 4 m/s².
10. A car accelerates uniformly from 14 m/s to 54 m/s in 4 s. Calculate its acceleration in m/s².
10 m/s²
Acceleration a = (v − u) ÷ t = (54 − 14) ÷ 4 = 10 m/s².
11. A car accelerates uniformly from 19 m/s to 43 m/s in 3 s. Calculate its acceleration in m/s².
8 m/s²
Acceleration a = (v − u) ÷ t = (43 − 19) ÷ 3 = 8 m/s².
12. A car accelerates uniformly from 20 m/s to 65 m/s in 9 s. Calculate its acceleration in m/s².
5 m/s²
Acceleration a = (v − u) ÷ t = (65 − 20) ÷ 9 = 5 m/s².

12 questions · Seed 61 · Age guidance, not curriculum certification