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 72 m/s in 9 s. Calculate its acceleration in m/s².
u = 18 m/s → v = 72 m/s · t = 9 s
2. A car accelerates uniformly from 7 m/s to 51 m/s in 11 s. Calculate its acceleration in m/s².
u = 7 m/s → v = 51 m/s · t = 11 s
3. A car accelerates uniformly from 15 m/s to 111 m/s in 12 s. Calculate its acceleration in m/s².
u = 15 m/s → v = 111 m/s · t = 12 s
4. A car accelerates uniformly from 2 m/s to 74 m/s in 9 s. Calculate its acceleration in m/s².
u = 2 m/s → v = 74 m/s · t = 9 s
5. A car accelerates uniformly from 8 m/s to 30 m/s in 11 s. Calculate its acceleration in m/s².
u = 8 m/s → v = 30 m/s · t = 11 s
6. A car accelerates uniformly from 4 m/s to 14 m/s in 5 s. Calculate its acceleration in m/s².
u = 4 m/s → v = 14 m/s · t = 5 s
7. A car accelerates uniformly from 11 m/s to 51 m/s in 10 s. Calculate its acceleration in m/s².
u = 11 m/s → v = 51 m/s · t = 10 s
8. A car accelerates uniformly from 2 m/s to 18 m/s in 4 s. Calculate its acceleration in m/s².
u = 2 m/s → v = 18 m/s · t = 4 s
9. A car accelerates uniformly from 17 m/s to 27 m/s in 5 s. Calculate its acceleration in m/s².
u = 17 m/s → v = 27 m/s · t = 5 s
10. A car accelerates uniformly from 11 m/s to 39 m/s in 4 s. Calculate its acceleration in m/s².
u = 11 m/s → v = 39 m/s · t = 4 s
11. A car accelerates uniformly from 4 m/s to 36 m/s in 4 s. Calculate its acceleration in m/s².
u = 4 m/s → v = 36 m/s · t = 4 s
12. A car accelerates uniformly from 17 m/s to 117 m/s in 10 s. Calculate its acceleration in m/s².
u = 17 m/s → v = 117 m/s · t = 10 s

12 questions · Seed 43 · 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 72 m/s in 9 s. Calculate its acceleration in m/s².
6 m/s²
Acceleration a = (v − u) ÷ t = (72 − 18) ÷ 9 = 6 m/s².
2. A car accelerates uniformly from 7 m/s to 51 m/s in 11 s. Calculate its acceleration in m/s².
4 m/s²
Acceleration a = (v − u) ÷ t = (51 − 7) ÷ 11 = 4 m/s².
3. A car accelerates uniformly from 15 m/s to 111 m/s in 12 s. Calculate its acceleration in m/s².
8 m/s²
Acceleration a = (v − u) ÷ t = (111 − 15) ÷ 12 = 8 m/s².
4. A car accelerates uniformly from 2 m/s to 74 m/s in 9 s. Calculate its acceleration in m/s².
8 m/s²
Acceleration a = (v − u) ÷ t = (74 − 2) ÷ 9 = 8 m/s².
5. A car accelerates uniformly from 8 m/s to 30 m/s in 11 s. Calculate its acceleration in m/s².
2 m/s²
Acceleration a = (v − u) ÷ t = (30 − 8) ÷ 11 = 2 m/s².
6. A car accelerates uniformly from 4 m/s to 14 m/s in 5 s. Calculate its acceleration in m/s².
2 m/s²
Acceleration a = (v − u) ÷ t = (14 − 4) ÷ 5 = 2 m/s².
7. A car accelerates uniformly from 11 m/s to 51 m/s in 10 s. Calculate its acceleration in m/s².
4 m/s²
Acceleration a = (v − u) ÷ t = (51 − 11) ÷ 10 = 4 m/s².
8. A car accelerates uniformly from 2 m/s to 18 m/s in 4 s. Calculate its acceleration in m/s².
4 m/s²
Acceleration a = (v − u) ÷ t = (18 − 2) ÷ 4 = 4 m/s².
9. A car accelerates uniformly from 17 m/s to 27 m/s in 5 s. Calculate its acceleration in m/s².
2 m/s²
Acceleration a = (v − u) ÷ t = (27 − 17) ÷ 5 = 2 m/s².
10. A car accelerates uniformly from 11 m/s to 39 m/s in 4 s. Calculate its acceleration in m/s².
7 m/s²
Acceleration a = (v − u) ÷ t = (39 − 11) ÷ 4 = 7 m/s².
11. A car accelerates uniformly from 4 m/s to 36 m/s in 4 s. Calculate its acceleration in m/s².
8 m/s²
Acceleration a = (v − u) ÷ t = (36 − 4) ÷ 4 = 8 m/s².
12. A car accelerates uniformly from 17 m/s to 117 m/s in 10 s. Calculate its acceleration in m/s².
10 m/s²
Acceleration a = (v − u) ÷ t = (117 − 17) ÷ 10 = 10 m/s².

12 questions · Seed 43 · 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 72 m/s in 9 s. Calculate its acceleration in m/s².
u = 18 m/s → v = 72 m/s · t = 9 s
2. A car accelerates uniformly from 7 m/s to 51 m/s in 11 s. Calculate its acceleration in m/s².
u = 7 m/s → v = 51 m/s · t = 11 s
3. A car accelerates uniformly from 15 m/s to 111 m/s in 12 s. Calculate its acceleration in m/s².
u = 15 m/s → v = 111 m/s · t = 12 s
4. A car accelerates uniformly from 2 m/s to 74 m/s in 9 s. Calculate its acceleration in m/s².
u = 2 m/s → v = 74 m/s · t = 9 s
5. A car accelerates uniformly from 8 m/s to 30 m/s in 11 s. Calculate its acceleration in m/s².
u = 8 m/s → v = 30 m/s · t = 11 s
6. A car accelerates uniformly from 4 m/s to 14 m/s in 5 s. Calculate its acceleration in m/s².
u = 4 m/s → v = 14 m/s · t = 5 s
7. A car accelerates uniformly from 11 m/s to 51 m/s in 10 s. Calculate its acceleration in m/s².
u = 11 m/s → v = 51 m/s · t = 10 s
8. A car accelerates uniformly from 2 m/s to 18 m/s in 4 s. Calculate its acceleration in m/s².
u = 2 m/s → v = 18 m/s · t = 4 s
9. A car accelerates uniformly from 17 m/s to 27 m/s in 5 s. Calculate its acceleration in m/s².
u = 17 m/s → v = 27 m/s · t = 5 s
10. A car accelerates uniformly from 11 m/s to 39 m/s in 4 s. Calculate its acceleration in m/s².
u = 11 m/s → v = 39 m/s · t = 4 s
11. A car accelerates uniformly from 4 m/s to 36 m/s in 4 s. Calculate its acceleration in m/s².
u = 4 m/s → v = 36 m/s · t = 4 s
12. A car accelerates uniformly from 17 m/s to 117 m/s in 10 s. Calculate its acceleration in m/s².
u = 17 m/s → v = 117 m/s · t = 10 s

12 questions · Seed 43 · 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 72 m/s in 9 s. Calculate its acceleration in m/s².
6 m/s²
Acceleration a = (v − u) ÷ t = (72 − 18) ÷ 9 = 6 m/s².
2. A car accelerates uniformly from 7 m/s to 51 m/s in 11 s. Calculate its acceleration in m/s².
4 m/s²
Acceleration a = (v − u) ÷ t = (51 − 7) ÷ 11 = 4 m/s².
3. A car accelerates uniformly from 15 m/s to 111 m/s in 12 s. Calculate its acceleration in m/s².
8 m/s²
Acceleration a = (v − u) ÷ t = (111 − 15) ÷ 12 = 8 m/s².
4. A car accelerates uniformly from 2 m/s to 74 m/s in 9 s. Calculate its acceleration in m/s².
8 m/s²
Acceleration a = (v − u) ÷ t = (74 − 2) ÷ 9 = 8 m/s².
5. A car accelerates uniformly from 8 m/s to 30 m/s in 11 s. Calculate its acceleration in m/s².
2 m/s²
Acceleration a = (v − u) ÷ t = (30 − 8) ÷ 11 = 2 m/s².
6. A car accelerates uniformly from 4 m/s to 14 m/s in 5 s. Calculate its acceleration in m/s².
2 m/s²
Acceleration a = (v − u) ÷ t = (14 − 4) ÷ 5 = 2 m/s².
7. A car accelerates uniformly from 11 m/s to 51 m/s in 10 s. Calculate its acceleration in m/s².
4 m/s²
Acceleration a = (v − u) ÷ t = (51 − 11) ÷ 10 = 4 m/s².
8. A car accelerates uniformly from 2 m/s to 18 m/s in 4 s. Calculate its acceleration in m/s².
4 m/s²
Acceleration a = (v − u) ÷ t = (18 − 2) ÷ 4 = 4 m/s².
9. A car accelerates uniformly from 17 m/s to 27 m/s in 5 s. Calculate its acceleration in m/s².
2 m/s²
Acceleration a = (v − u) ÷ t = (27 − 17) ÷ 5 = 2 m/s².
10. A car accelerates uniformly from 11 m/s to 39 m/s in 4 s. Calculate its acceleration in m/s².
7 m/s²
Acceleration a = (v − u) ÷ t = (39 − 11) ÷ 4 = 7 m/s².
11. A car accelerates uniformly from 4 m/s to 36 m/s in 4 s. Calculate its acceleration in m/s².
8 m/s²
Acceleration a = (v − u) ÷ t = (36 − 4) ÷ 4 = 8 m/s².
12. A car accelerates uniformly from 17 m/s to 117 m/s in 10 s. Calculate its acceleration in m/s².
10 m/s²
Acceleration a = (v − u) ÷ t = (117 − 17) ÷ 10 = 10 m/s².

12 questions · Seed 43 · Age guidance, not curriculum certification