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 10 m/s to 70 m/s in 10 s. Calculate its acceleration in m/s².
u = 10 m/s → v = 70 m/s · t = 10 s
2. 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
3. A car accelerates uniformly from 18 m/s to 28 m/s in 2 s. Calculate its acceleration in m/s².
u = 18 m/s → v = 28 m/s · t = 2 s
4. A car accelerates uniformly from 3 m/s to 9 m/s in 3 s. Calculate its acceleration in m/s².
u = 3 m/s → v = 9 m/s · t = 3 s
5. A car accelerates uniformly from 14 m/s to 56 m/s in 7 s. Calculate its acceleration in m/s².
u = 14 m/s → v = 56 m/s · t = 7 s
6. A car accelerates uniformly from 6 m/s to 31 m/s in 5 s. Calculate its acceleration in m/s².
u = 6 m/s → v = 31 m/s · t = 5 s
7. A car accelerates uniformly from 14 m/s to 38 m/s in 4 s. Calculate its acceleration in m/s².
u = 14 m/s → v = 38 m/s · t = 4 s
8. A car accelerates uniformly from 11 m/s to 91 m/s in 8 s. Calculate its acceleration in m/s².
u = 11 m/s → v = 91 m/s · t = 8 s
9. A car accelerates uniformly from 14 m/s to 46 m/s in 4 s. Calculate its acceleration in m/s².
u = 14 m/s → v = 46 m/s · t = 4 s
10. A car accelerates uniformly from 17 m/s to 41 m/s in 8 s. Calculate its acceleration in m/s².
u = 17 m/s → v = 41 m/s · t = 8 s
11. A car accelerates uniformly from 19 m/s to 91 m/s in 12 s. Calculate its acceleration in m/s².
u = 19 m/s → v = 91 m/s · t = 12 s
12. A car accelerates uniformly from 9 m/s to 89 m/s in 10 s. Calculate its acceleration in m/s².
u = 9 m/s → v = 89 m/s · t = 10 s

12 questions · Seed 47 · 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 10 m/s to 70 m/s in 10 s. Calculate its acceleration in m/s².
6 m/s²
Acceleration a = (v − u) ÷ t = (70 − 10) ÷ 10 = 6 m/s².
2. 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.
3. A car accelerates uniformly from 18 m/s to 28 m/s in 2 s. Calculate its acceleration in m/s².
5 m/s²
Acceleration a = (v − u) ÷ t = (28 − 18) ÷ 2 = 5 m/s².
4. A car accelerates uniformly from 3 m/s to 9 m/s in 3 s. Calculate its acceleration in m/s².
2 m/s²
Acceleration a = (v − u) ÷ t = (9 − 3) ÷ 3 = 2 m/s².
5. A car accelerates uniformly from 14 m/s to 56 m/s in 7 s. Calculate its acceleration in m/s².
6 m/s²
Acceleration a = (v − u) ÷ t = (56 − 14) ÷ 7 = 6 m/s².
6. A car accelerates uniformly from 6 m/s to 31 m/s in 5 s. Calculate its acceleration in m/s².
5 m/s²
Acceleration a = (v − u) ÷ t = (31 − 6) ÷ 5 = 5 m/s².
7. A car accelerates uniformly from 14 m/s to 38 m/s in 4 s. Calculate its acceleration in m/s².
6 m/s²
Acceleration a = (v − u) ÷ t = (38 − 14) ÷ 4 = 6 m/s².
8. A car accelerates uniformly from 11 m/s to 91 m/s in 8 s. Calculate its acceleration in m/s².
10 m/s²
Acceleration a = (v − u) ÷ t = (91 − 11) ÷ 8 = 10 m/s².
9. A car accelerates uniformly from 14 m/s to 46 m/s in 4 s. Calculate its acceleration in m/s².
8 m/s²
Acceleration a = (v − u) ÷ t = (46 − 14) ÷ 4 = 8 m/s².
10. A car accelerates uniformly from 17 m/s to 41 m/s in 8 s. Calculate its acceleration in m/s².
3 m/s²
Acceleration a = (v − u) ÷ t = (41 − 17) ÷ 8 = 3 m/s².
11. A car accelerates uniformly from 19 m/s to 91 m/s in 12 s. Calculate its acceleration in m/s².
6 m/s²
Acceleration a = (v − u) ÷ t = (91 − 19) ÷ 12 = 6 m/s².
12. A car accelerates uniformly from 9 m/s to 89 m/s in 10 s. Calculate its acceleration in m/s².
8 m/s²
Acceleration a = (v − u) ÷ t = (89 − 9) ÷ 10 = 8 m/s².

12 questions · Seed 47 · 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 10 m/s to 70 m/s in 10 s. Calculate its acceleration in m/s².
u = 10 m/s → v = 70 m/s · t = 10 s
2. 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
3. A car accelerates uniformly from 18 m/s to 28 m/s in 2 s. Calculate its acceleration in m/s².
u = 18 m/s → v = 28 m/s · t = 2 s
4. A car accelerates uniformly from 3 m/s to 9 m/s in 3 s. Calculate its acceleration in m/s².
u = 3 m/s → v = 9 m/s · t = 3 s
5. A car accelerates uniformly from 14 m/s to 56 m/s in 7 s. Calculate its acceleration in m/s².
u = 14 m/s → v = 56 m/s · t = 7 s
6. A car accelerates uniformly from 6 m/s to 31 m/s in 5 s. Calculate its acceleration in m/s².
u = 6 m/s → v = 31 m/s · t = 5 s
7. A car accelerates uniformly from 14 m/s to 38 m/s in 4 s. Calculate its acceleration in m/s².
u = 14 m/s → v = 38 m/s · t = 4 s
8. A car accelerates uniformly from 11 m/s to 91 m/s in 8 s. Calculate its acceleration in m/s².
u = 11 m/s → v = 91 m/s · t = 8 s
9. A car accelerates uniformly from 14 m/s to 46 m/s in 4 s. Calculate its acceleration in m/s².
u = 14 m/s → v = 46 m/s · t = 4 s
10. A car accelerates uniformly from 17 m/s to 41 m/s in 8 s. Calculate its acceleration in m/s².
u = 17 m/s → v = 41 m/s · t = 8 s
11. A car accelerates uniformly from 19 m/s to 91 m/s in 12 s. Calculate its acceleration in m/s².
u = 19 m/s → v = 91 m/s · t = 12 s
12. A car accelerates uniformly from 9 m/s to 89 m/s in 10 s. Calculate its acceleration in m/s².
u = 9 m/s → v = 89 m/s · t = 10 s

12 questions · Seed 47 · 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 10 m/s to 70 m/s in 10 s. Calculate its acceleration in m/s².
6 m/s²
Acceleration a = (v − u) ÷ t = (70 − 10) ÷ 10 = 6 m/s².
2. 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.
3. A car accelerates uniformly from 18 m/s to 28 m/s in 2 s. Calculate its acceleration in m/s².
5 m/s²
Acceleration a = (v − u) ÷ t = (28 − 18) ÷ 2 = 5 m/s².
4. A car accelerates uniformly from 3 m/s to 9 m/s in 3 s. Calculate its acceleration in m/s².
2 m/s²
Acceleration a = (v − u) ÷ t = (9 − 3) ÷ 3 = 2 m/s².
5. A car accelerates uniformly from 14 m/s to 56 m/s in 7 s. Calculate its acceleration in m/s².
6 m/s²
Acceleration a = (v − u) ÷ t = (56 − 14) ÷ 7 = 6 m/s².
6. A car accelerates uniformly from 6 m/s to 31 m/s in 5 s. Calculate its acceleration in m/s².
5 m/s²
Acceleration a = (v − u) ÷ t = (31 − 6) ÷ 5 = 5 m/s².
7. A car accelerates uniformly from 14 m/s to 38 m/s in 4 s. Calculate its acceleration in m/s².
6 m/s²
Acceleration a = (v − u) ÷ t = (38 − 14) ÷ 4 = 6 m/s².
8. A car accelerates uniformly from 11 m/s to 91 m/s in 8 s. Calculate its acceleration in m/s².
10 m/s²
Acceleration a = (v − u) ÷ t = (91 − 11) ÷ 8 = 10 m/s².
9. A car accelerates uniformly from 14 m/s to 46 m/s in 4 s. Calculate its acceleration in m/s².
8 m/s²
Acceleration a = (v − u) ÷ t = (46 − 14) ÷ 4 = 8 m/s².
10. A car accelerates uniformly from 17 m/s to 41 m/s in 8 s. Calculate its acceleration in m/s².
3 m/s²
Acceleration a = (v − u) ÷ t = (41 − 17) ÷ 8 = 3 m/s².
11. A car accelerates uniformly from 19 m/s to 91 m/s in 12 s. Calculate its acceleration in m/s².
6 m/s²
Acceleration a = (v − u) ÷ t = (91 − 19) ÷ 12 = 6 m/s².
12. A car accelerates uniformly from 9 m/s to 89 m/s in 10 s. Calculate its acceleration in m/s².
8 m/s²
Acceleration a = (v − u) ÷ t = (89 − 9) ÷ 10 = 8 m/s².

12 questions · Seed 47 · Age guidance, not curriculum certification