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 16 m/s to 100 m/s in 12 s. Calculate its acceleration in m/s².
u = 16 m/s → v = 100 m/s · t = 12 s
2. A car accelerates uniformly from 7 m/s to 19 m/s in 4 s. Calculate its acceleration in m/s².
u = 7 m/s → v = 19 m/s · t = 4 s
3. A car accelerates uniformly from 1 m/s to 46 m/s in 9 s. Calculate its acceleration in m/s².
u = 1 m/s → v = 46 m/s · t = 9 s
4. A car accelerates uniformly from 9 m/s to 99 m/s in 10 s. Calculate its acceleration in m/s².
u = 9 m/s → v = 99 m/s · t = 10 s
5. A car accelerates uniformly from 16 m/s to 44 m/s in 4 s. Calculate its acceleration in m/s².
u = 16 m/s → v = 44 m/s · t = 4 s
6. A car accelerates uniformly from 17 m/s to 62 m/s in 9 s. Calculate its acceleration in m/s².
u = 17 m/s → v = 62 m/s · t = 9 s
7. A car accelerates uniformly from 17 m/s to 23 m/s in 6 s. Calculate its acceleration in m/s².
u = 17 m/s → v = 23 m/s · t = 6 s
8. A car accelerates uniformly from 7 m/s to 106 m/s in 11 s. Calculate its acceleration in m/s².
u = 7 m/s → v = 106 m/s · t = 11 s
9. A car accelerates uniformly from 11 m/s to 47 m/s in 6 s. Calculate its acceleration in m/s².
u = 11 m/s → v = 47 m/s · t = 6 s
10. A car accelerates uniformly from 12 m/s to 72 m/s in 12 s. Calculate its acceleration in m/s².
u = 12 m/s → v = 72 m/s · t = 12 s
11. A car accelerates uniformly from 16 m/s to 72 m/s in 7 s. Calculate its acceleration in m/s².
u = 16 m/s → v = 72 m/s · t = 7 s
12. A car accelerates uniformly from 3 m/s to 6 m/s in 3 s. Calculate its acceleration in m/s².
u = 3 m/s → v = 6 m/s · t = 3 s

12 questions · Seed 104734 · 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 16 m/s to 100 m/s in 12 s. Calculate its acceleration in m/s².
7 m/s²
Acceleration a = (v − u) ÷ t = (100 − 16) ÷ 12 = 7 m/s².
2. A car accelerates uniformly from 7 m/s to 19 m/s in 4 s. Calculate its acceleration in m/s².
3 m/s²
Acceleration a = (v − u) ÷ t = (19 − 7) ÷ 4 = 3 m/s².
3. A car accelerates uniformly from 1 m/s to 46 m/s in 9 s. Calculate its acceleration in m/s².
5 m/s²
Acceleration a = (v − u) ÷ t = (46 − 1) ÷ 9 = 5 m/s².
4. A car accelerates uniformly from 9 m/s to 99 m/s in 10 s. Calculate its acceleration in m/s².
9 m/s²
Acceleration a = (v − u) ÷ t = (99 − 9) ÷ 10 = 9 m/s².
5. A car accelerates uniformly from 16 m/s to 44 m/s in 4 s. Calculate its acceleration in m/s².
7 m/s²
Acceleration a = (v − u) ÷ t = (44 − 16) ÷ 4 = 7 m/s².
6. A car accelerates uniformly from 17 m/s to 62 m/s in 9 s. Calculate its acceleration in m/s².
5 m/s²
Acceleration a = (v − u) ÷ t = (62 − 17) ÷ 9 = 5 m/s².
7. A car accelerates uniformly from 17 m/s to 23 m/s in 6 s. Calculate its acceleration in m/s².
1 m/s²
Acceleration a = (v − u) ÷ t = (23 − 17) ÷ 6 = 1 m/s².
8. A car accelerates uniformly from 7 m/s to 106 m/s in 11 s. Calculate its acceleration in m/s².
9 m/s²
Acceleration a = (v − u) ÷ t = (106 − 7) ÷ 11 = 9 m/s².
9. A car accelerates uniformly from 11 m/s to 47 m/s in 6 s. Calculate its acceleration in m/s².
6 m/s²
Acceleration a = (v − u) ÷ t = (47 − 11) ÷ 6 = 6 m/s².
10. A car accelerates uniformly from 12 m/s to 72 m/s in 12 s. Calculate its acceleration in m/s².
5 m/s²
Acceleration a = (v − u) ÷ t = (72 − 12) ÷ 12 = 5 m/s².
11. A car accelerates uniformly from 16 m/s to 72 m/s in 7 s. Calculate its acceleration in m/s².
8 m/s²
Acceleration a = (v − u) ÷ t = (72 − 16) ÷ 7 = 8 m/s².
12. A car accelerates uniformly from 3 m/s to 6 m/s in 3 s. Calculate its acceleration in m/s².
1 m/s²
Acceleration a = (v − u) ÷ t = (6 − 3) ÷ 3 = 1 m/s².

12 questions · Seed 104734 · 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 16 m/s to 100 m/s in 12 s. Calculate its acceleration in m/s².
u = 16 m/s → v = 100 m/s · t = 12 s
2. A car accelerates uniformly from 7 m/s to 19 m/s in 4 s. Calculate its acceleration in m/s².
u = 7 m/s → v = 19 m/s · t = 4 s
3. A car accelerates uniformly from 1 m/s to 46 m/s in 9 s. Calculate its acceleration in m/s².
u = 1 m/s → v = 46 m/s · t = 9 s
4. A car accelerates uniformly from 9 m/s to 99 m/s in 10 s. Calculate its acceleration in m/s².
u = 9 m/s → v = 99 m/s · t = 10 s
5. A car accelerates uniformly from 16 m/s to 44 m/s in 4 s. Calculate its acceleration in m/s².
u = 16 m/s → v = 44 m/s · t = 4 s
6. A car accelerates uniformly from 17 m/s to 62 m/s in 9 s. Calculate its acceleration in m/s².
u = 17 m/s → v = 62 m/s · t = 9 s
7. A car accelerates uniformly from 17 m/s to 23 m/s in 6 s. Calculate its acceleration in m/s².
u = 17 m/s → v = 23 m/s · t = 6 s
8. A car accelerates uniformly from 7 m/s to 106 m/s in 11 s. Calculate its acceleration in m/s².
u = 7 m/s → v = 106 m/s · t = 11 s
9. A car accelerates uniformly from 11 m/s to 47 m/s in 6 s. Calculate its acceleration in m/s².
u = 11 m/s → v = 47 m/s · t = 6 s
10. A car accelerates uniformly from 12 m/s to 72 m/s in 12 s. Calculate its acceleration in m/s².
u = 12 m/s → v = 72 m/s · t = 12 s
11. A car accelerates uniformly from 16 m/s to 72 m/s in 7 s. Calculate its acceleration in m/s².
u = 16 m/s → v = 72 m/s · t = 7 s
12. A car accelerates uniformly from 3 m/s to 6 m/s in 3 s. Calculate its acceleration in m/s².
u = 3 m/s → v = 6 m/s · t = 3 s

12 questions · Seed 104734 · 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 16 m/s to 100 m/s in 12 s. Calculate its acceleration in m/s².
7 m/s²
Acceleration a = (v − u) ÷ t = (100 − 16) ÷ 12 = 7 m/s².
2. A car accelerates uniformly from 7 m/s to 19 m/s in 4 s. Calculate its acceleration in m/s².
3 m/s²
Acceleration a = (v − u) ÷ t = (19 − 7) ÷ 4 = 3 m/s².
3. A car accelerates uniformly from 1 m/s to 46 m/s in 9 s. Calculate its acceleration in m/s².
5 m/s²
Acceleration a = (v − u) ÷ t = (46 − 1) ÷ 9 = 5 m/s².
4. A car accelerates uniformly from 9 m/s to 99 m/s in 10 s. Calculate its acceleration in m/s².
9 m/s²
Acceleration a = (v − u) ÷ t = (99 − 9) ÷ 10 = 9 m/s².
5. A car accelerates uniformly from 16 m/s to 44 m/s in 4 s. Calculate its acceleration in m/s².
7 m/s²
Acceleration a = (v − u) ÷ t = (44 − 16) ÷ 4 = 7 m/s².
6. A car accelerates uniformly from 17 m/s to 62 m/s in 9 s. Calculate its acceleration in m/s².
5 m/s²
Acceleration a = (v − u) ÷ t = (62 − 17) ÷ 9 = 5 m/s².
7. A car accelerates uniformly from 17 m/s to 23 m/s in 6 s. Calculate its acceleration in m/s².
1 m/s²
Acceleration a = (v − u) ÷ t = (23 − 17) ÷ 6 = 1 m/s².
8. A car accelerates uniformly from 7 m/s to 106 m/s in 11 s. Calculate its acceleration in m/s².
9 m/s²
Acceleration a = (v − u) ÷ t = (106 − 7) ÷ 11 = 9 m/s².
9. A car accelerates uniformly from 11 m/s to 47 m/s in 6 s. Calculate its acceleration in m/s².
6 m/s²
Acceleration a = (v − u) ÷ t = (47 − 11) ÷ 6 = 6 m/s².
10. A car accelerates uniformly from 12 m/s to 72 m/s in 12 s. Calculate its acceleration in m/s².
5 m/s²
Acceleration a = (v − u) ÷ t = (72 − 12) ÷ 12 = 5 m/s².
11. A car accelerates uniformly from 16 m/s to 72 m/s in 7 s. Calculate its acceleration in m/s².
8 m/s²
Acceleration a = (v − u) ÷ t = (72 − 16) ÷ 7 = 8 m/s².
12. A car accelerates uniformly from 3 m/s to 6 m/s in 3 s. Calculate its acceleration in m/s².
1 m/s²
Acceleration a = (v − u) ÷ t = (6 − 3) ÷ 3 = 1 m/s².

12 questions · Seed 104734 · Age guidance, not curriculum certification