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 5 m/s to 9 m/s in 4 s. Calculate its acceleration in m/s².
u = 5 m/s → v = 9 m/s · t = 4 s
2. A car accelerates uniformly from 13 m/s to 49 m/s in 6 s. Calculate its acceleration in m/s².
u = 13 m/s → v = 49 m/s · t = 6 s
3. A car accelerates uniformly from 15 m/s to 31 m/s in 2 s. Calculate its acceleration in m/s².
u = 15 m/s → v = 31 m/s · t = 2 s
4. A car accelerates uniformly from 8 m/s to 14 m/s in 3 s. Calculate its acceleration in m/s².
u = 8 m/s → v = 14 m/s · t = 3 s
5. A car accelerates uniformly from 9 m/s to 29 m/s in 2 s. Calculate its acceleration in m/s².
u = 9 m/s → v = 29 m/s · t = 2 s
6. 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
7. A car accelerates uniformly from 13 m/s to 16 m/s in 3 s. Calculate its acceleration in m/s².
u = 13 m/s → v = 16 m/s · t = 3 s
8. A car accelerates uniformly from 6 m/s to 78 m/s in 8 s. Calculate its acceleration in m/s².
u = 6 m/s → v = 78 m/s · t = 8 s
9. A car accelerates uniformly from 17 m/s to 52 m/s in 7 s. Calculate its acceleration in m/s².
u = 17 m/s → v = 52 m/s · t = 7 s
10. A car accelerates uniformly from 6 m/s to 34 m/s in 4 s. Calculate its acceleration in m/s².
u = 6 m/s → v = 34 m/s · t = 4 s
11. A car accelerates uniformly from 3 m/s to 52 m/s in 7 s. Calculate its acceleration in m/s².
u = 3 m/s → v = 52 m/s · t = 7 s
12. A car accelerates uniformly from 20 m/s to 36 m/s in 8 s. Calculate its acceleration in m/s².
u = 20 m/s → v = 36 m/s · t = 8 s

12 questions · Seed 104733 · 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 5 m/s to 9 m/s in 4 s. Calculate its acceleration in m/s².
1 m/s²
Acceleration a = (v − u) ÷ t = (9 − 5) ÷ 4 = 1 m/s².
2. A car accelerates uniformly from 13 m/s to 49 m/s in 6 s. Calculate its acceleration in m/s².
6 m/s²
Acceleration a = (v − u) ÷ t = (49 − 13) ÷ 6 = 6 m/s².
3. A car accelerates uniformly from 15 m/s to 31 m/s in 2 s. Calculate its acceleration in m/s².
8 m/s²
Acceleration a = (v − u) ÷ t = (31 − 15) ÷ 2 = 8 m/s².
4. A car accelerates uniformly from 8 m/s to 14 m/s in 3 s. Calculate its acceleration in m/s².
2 m/s²
Acceleration a = (v − u) ÷ t = (14 − 8) ÷ 3 = 2 m/s².
5. A car accelerates uniformly from 9 m/s to 29 m/s in 2 s. Calculate its acceleration in m/s².
10 m/s²
Acceleration a = (v − u) ÷ t = (29 − 9) ÷ 2 = 10 m/s².
6. 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.
7. A car accelerates uniformly from 13 m/s to 16 m/s in 3 s. Calculate its acceleration in m/s².
1 m/s²
Acceleration a = (v − u) ÷ t = (16 − 13) ÷ 3 = 1 m/s².
8. A car accelerates uniformly from 6 m/s to 78 m/s in 8 s. Calculate its acceleration in m/s².
9 m/s²
Acceleration a = (v − u) ÷ t = (78 − 6) ÷ 8 = 9 m/s².
9. A car accelerates uniformly from 17 m/s to 52 m/s in 7 s. Calculate its acceleration in m/s².
5 m/s²
Acceleration a = (v − u) ÷ t = (52 − 17) ÷ 7 = 5 m/s².
10. A car accelerates uniformly from 6 m/s to 34 m/s in 4 s. Calculate its acceleration in m/s².
7 m/s²
Acceleration a = (v − u) ÷ t = (34 − 6) ÷ 4 = 7 m/s².
11. A car accelerates uniformly from 3 m/s to 52 m/s in 7 s. Calculate its acceleration in m/s².
7 m/s²
Acceleration a = (v − u) ÷ t = (52 − 3) ÷ 7 = 7 m/s².
12. A car accelerates uniformly from 20 m/s to 36 m/s in 8 s. Calculate its acceleration in m/s².
2 m/s²
Acceleration a = (v − u) ÷ t = (36 − 20) ÷ 8 = 2 m/s².

12 questions · Seed 104733 · 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 5 m/s to 9 m/s in 4 s. Calculate its acceleration in m/s².
u = 5 m/s → v = 9 m/s · t = 4 s
2. A car accelerates uniformly from 13 m/s to 49 m/s in 6 s. Calculate its acceleration in m/s².
u = 13 m/s → v = 49 m/s · t = 6 s
3. A car accelerates uniformly from 15 m/s to 31 m/s in 2 s. Calculate its acceleration in m/s².
u = 15 m/s → v = 31 m/s · t = 2 s
4. A car accelerates uniformly from 8 m/s to 14 m/s in 3 s. Calculate its acceleration in m/s².
u = 8 m/s → v = 14 m/s · t = 3 s
5. A car accelerates uniformly from 9 m/s to 29 m/s in 2 s. Calculate its acceleration in m/s².
u = 9 m/s → v = 29 m/s · t = 2 s
6. 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
7. A car accelerates uniformly from 13 m/s to 16 m/s in 3 s. Calculate its acceleration in m/s².
u = 13 m/s → v = 16 m/s · t = 3 s
8. A car accelerates uniformly from 6 m/s to 78 m/s in 8 s. Calculate its acceleration in m/s².
u = 6 m/s → v = 78 m/s · t = 8 s
9. A car accelerates uniformly from 17 m/s to 52 m/s in 7 s. Calculate its acceleration in m/s².
u = 17 m/s → v = 52 m/s · t = 7 s
10. A car accelerates uniformly from 6 m/s to 34 m/s in 4 s. Calculate its acceleration in m/s².
u = 6 m/s → v = 34 m/s · t = 4 s
11. A car accelerates uniformly from 3 m/s to 52 m/s in 7 s. Calculate its acceleration in m/s².
u = 3 m/s → v = 52 m/s · t = 7 s
12. A car accelerates uniformly from 20 m/s to 36 m/s in 8 s. Calculate its acceleration in m/s².
u = 20 m/s → v = 36 m/s · t = 8 s

12 questions · Seed 104733 · 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 5 m/s to 9 m/s in 4 s. Calculate its acceleration in m/s².
1 m/s²
Acceleration a = (v − u) ÷ t = (9 − 5) ÷ 4 = 1 m/s².
2. A car accelerates uniformly from 13 m/s to 49 m/s in 6 s. Calculate its acceleration in m/s².
6 m/s²
Acceleration a = (v − u) ÷ t = (49 − 13) ÷ 6 = 6 m/s².
3. A car accelerates uniformly from 15 m/s to 31 m/s in 2 s. Calculate its acceleration in m/s².
8 m/s²
Acceleration a = (v − u) ÷ t = (31 − 15) ÷ 2 = 8 m/s².
4. A car accelerates uniformly from 8 m/s to 14 m/s in 3 s. Calculate its acceleration in m/s².
2 m/s²
Acceleration a = (v − u) ÷ t = (14 − 8) ÷ 3 = 2 m/s².
5. A car accelerates uniformly from 9 m/s to 29 m/s in 2 s. Calculate its acceleration in m/s².
10 m/s²
Acceleration a = (v − u) ÷ t = (29 − 9) ÷ 2 = 10 m/s².
6. 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.
7. A car accelerates uniformly from 13 m/s to 16 m/s in 3 s. Calculate its acceleration in m/s².
1 m/s²
Acceleration a = (v − u) ÷ t = (16 − 13) ÷ 3 = 1 m/s².
8. A car accelerates uniformly from 6 m/s to 78 m/s in 8 s. Calculate its acceleration in m/s².
9 m/s²
Acceleration a = (v − u) ÷ t = (78 − 6) ÷ 8 = 9 m/s².
9. A car accelerates uniformly from 17 m/s to 52 m/s in 7 s. Calculate its acceleration in m/s².
5 m/s²
Acceleration a = (v − u) ÷ t = (52 − 17) ÷ 7 = 5 m/s².
10. A car accelerates uniformly from 6 m/s to 34 m/s in 4 s. Calculate its acceleration in m/s².
7 m/s²
Acceleration a = (v − u) ÷ t = (34 − 6) ÷ 4 = 7 m/s².
11. A car accelerates uniformly from 3 m/s to 52 m/s in 7 s. Calculate its acceleration in m/s².
7 m/s²
Acceleration a = (v − u) ÷ t = (52 − 3) ÷ 7 = 7 m/s².
12. A car accelerates uniformly from 20 m/s to 36 m/s in 8 s. Calculate its acceleration in m/s².
2 m/s²
Acceleration a = (v − u) ÷ t = (36 − 20) ÷ 8 = 2 m/s².

12 questions · Seed 104733 · Age guidance, not curriculum certification