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 3 m/s to 111 m/s in 12 s. Calculate its acceleration in m/s².
u = 3 m/s → v = 111 m/s · t = 12 s
2. A car accelerates uniformly from 2 m/s to 65 m/s in 9 s. Calculate its acceleration in m/s².
u = 2 m/s → v = 65 m/s · t = 9 s
3. A car accelerates uniformly from 11 m/s to 81 m/s in 7 s. Calculate its acceleration in m/s².
u = 11 m/s → v = 81 m/s · t = 7 s
4. A car accelerates uniformly from 19 m/s to 37 m/s in 6 s. Calculate its acceleration in m/s².
u = 19 m/s → v = 37 m/s · t = 6 s
5. A car accelerates uniformly from 17 m/s to 65 m/s in 8 s. Calculate its acceleration in m/s².
u = 17 m/s → v = 65 m/s · t = 8 s
6. 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
7. A car accelerates uniformly from 13 m/s to 49 m/s in 4 s. Calculate its acceleration in m/s².
u = 13 m/s → v = 49 m/s · t = 4 s
8. A car accelerates uniformly from 19 m/s to 33 m/s in 2 s. Calculate its acceleration in m/s².
u = 19 m/s → v = 33 m/s · t = 2 s
9. A car accelerates uniformly from 10 m/s to 19 m/s in 3 s. Calculate its acceleration in m/s².
u = 10 m/s → v = 19 m/s · t = 3 s
10. A car accelerates uniformly from 6 m/s to 78 m/s in 12 s. Calculate its acceleration in m/s².
u = 6 m/s → v = 78 m/s · t = 12 s
11. A car accelerates uniformly from 15 m/s to 60 m/s in 9 s. Calculate its acceleration in m/s².
u = 15 m/s → v = 60 m/s · t = 9 s
12. A car accelerates uniformly from 1 m/s to 82 m/s in 9 s. Calculate its acceleration in m/s².
u = 1 m/s → v = 82 m/s · t = 9 s

12 questions · Seed 104730 · 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 3 m/s to 111 m/s in 12 s. Calculate its acceleration in m/s².
9 m/s²
Acceleration a = (v − u) ÷ t = (111 − 3) ÷ 12 = 9 m/s².
2. A car accelerates uniformly from 2 m/s to 65 m/s in 9 s. Calculate its acceleration in m/s².
7 m/s²
Acceleration a = (v − u) ÷ t = (65 − 2) ÷ 9 = 7 m/s².
3. A car accelerates uniformly from 11 m/s to 81 m/s in 7 s. Calculate its acceleration in m/s².
10 m/s²
Acceleration a = (v − u) ÷ t = (81 − 11) ÷ 7 = 10 m/s².
4. A car accelerates uniformly from 19 m/s to 37 m/s in 6 s. Calculate its acceleration in m/s².
3 m/s²
Acceleration a = (v − u) ÷ t = (37 − 19) ÷ 6 = 3 m/s².
5. A car accelerates uniformly from 17 m/s to 65 m/s in 8 s. Calculate its acceleration in m/s².
6 m/s²
Acceleration a = (v − u) ÷ t = (65 − 17) ÷ 8 = 6 m/s².
6. 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.
7. A car accelerates uniformly from 13 m/s to 49 m/s in 4 s. Calculate its acceleration in m/s².
9 m/s²
Acceleration a = (v − u) ÷ t = (49 − 13) ÷ 4 = 9 m/s².
8. A car accelerates uniformly from 19 m/s to 33 m/s in 2 s. Calculate its acceleration in m/s².
7 m/s²
Acceleration a = (v − u) ÷ t = (33 − 19) ÷ 2 = 7 m/s².
9. A car accelerates uniformly from 10 m/s to 19 m/s in 3 s. Calculate its acceleration in m/s².
3 m/s²
Acceleration a = (v − u) ÷ t = (19 − 10) ÷ 3 = 3 m/s².
10. A car accelerates uniformly from 6 m/s to 78 m/s in 12 s. Calculate its acceleration in m/s².
6 m/s²
Acceleration a = (v − u) ÷ t = (78 − 6) ÷ 12 = 6 m/s².
11. A car accelerates uniformly from 15 m/s to 60 m/s in 9 s. Calculate its acceleration in m/s².
5 m/s²
Acceleration a = (v − u) ÷ t = (60 − 15) ÷ 9 = 5 m/s².
12. A car accelerates uniformly from 1 m/s to 82 m/s in 9 s. Calculate its acceleration in m/s².
9 m/s²
Acceleration a = (v − u) ÷ t = (82 − 1) ÷ 9 = 9 m/s².

12 questions · Seed 104730 · 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 3 m/s to 111 m/s in 12 s. Calculate its acceleration in m/s².
u = 3 m/s → v = 111 m/s · t = 12 s
2. A car accelerates uniformly from 2 m/s to 65 m/s in 9 s. Calculate its acceleration in m/s².
u = 2 m/s → v = 65 m/s · t = 9 s
3. A car accelerates uniformly from 11 m/s to 81 m/s in 7 s. Calculate its acceleration in m/s².
u = 11 m/s → v = 81 m/s · t = 7 s
4. A car accelerates uniformly from 19 m/s to 37 m/s in 6 s. Calculate its acceleration in m/s².
u = 19 m/s → v = 37 m/s · t = 6 s
5. A car accelerates uniformly from 17 m/s to 65 m/s in 8 s. Calculate its acceleration in m/s².
u = 17 m/s → v = 65 m/s · t = 8 s
6. 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
7. A car accelerates uniformly from 13 m/s to 49 m/s in 4 s. Calculate its acceleration in m/s².
u = 13 m/s → v = 49 m/s · t = 4 s
8. A car accelerates uniformly from 19 m/s to 33 m/s in 2 s. Calculate its acceleration in m/s².
u = 19 m/s → v = 33 m/s · t = 2 s
9. A car accelerates uniformly from 10 m/s to 19 m/s in 3 s. Calculate its acceleration in m/s².
u = 10 m/s → v = 19 m/s · t = 3 s
10. A car accelerates uniformly from 6 m/s to 78 m/s in 12 s. Calculate its acceleration in m/s².
u = 6 m/s → v = 78 m/s · t = 12 s
11. A car accelerates uniformly from 15 m/s to 60 m/s in 9 s. Calculate its acceleration in m/s².
u = 15 m/s → v = 60 m/s · t = 9 s
12. A car accelerates uniformly from 1 m/s to 82 m/s in 9 s. Calculate its acceleration in m/s².
u = 1 m/s → v = 82 m/s · t = 9 s

12 questions · Seed 104730 · 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 3 m/s to 111 m/s in 12 s. Calculate its acceleration in m/s².
9 m/s²
Acceleration a = (v − u) ÷ t = (111 − 3) ÷ 12 = 9 m/s².
2. A car accelerates uniformly from 2 m/s to 65 m/s in 9 s. Calculate its acceleration in m/s².
7 m/s²
Acceleration a = (v − u) ÷ t = (65 − 2) ÷ 9 = 7 m/s².
3. A car accelerates uniformly from 11 m/s to 81 m/s in 7 s. Calculate its acceleration in m/s².
10 m/s²
Acceleration a = (v − u) ÷ t = (81 − 11) ÷ 7 = 10 m/s².
4. A car accelerates uniformly from 19 m/s to 37 m/s in 6 s. Calculate its acceleration in m/s².
3 m/s²
Acceleration a = (v − u) ÷ t = (37 − 19) ÷ 6 = 3 m/s².
5. A car accelerates uniformly from 17 m/s to 65 m/s in 8 s. Calculate its acceleration in m/s².
6 m/s²
Acceleration a = (v − u) ÷ t = (65 − 17) ÷ 8 = 6 m/s².
6. 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.
7. A car accelerates uniformly from 13 m/s to 49 m/s in 4 s. Calculate its acceleration in m/s².
9 m/s²
Acceleration a = (v − u) ÷ t = (49 − 13) ÷ 4 = 9 m/s².
8. A car accelerates uniformly from 19 m/s to 33 m/s in 2 s. Calculate its acceleration in m/s².
7 m/s²
Acceleration a = (v − u) ÷ t = (33 − 19) ÷ 2 = 7 m/s².
9. A car accelerates uniformly from 10 m/s to 19 m/s in 3 s. Calculate its acceleration in m/s².
3 m/s²
Acceleration a = (v − u) ÷ t = (19 − 10) ÷ 3 = 3 m/s².
10. A car accelerates uniformly from 6 m/s to 78 m/s in 12 s. Calculate its acceleration in m/s².
6 m/s²
Acceleration a = (v − u) ÷ t = (78 − 6) ÷ 12 = 6 m/s².
11. A car accelerates uniformly from 15 m/s to 60 m/s in 9 s. Calculate its acceleration in m/s².
5 m/s²
Acceleration a = (v − u) ÷ t = (60 − 15) ÷ 9 = 5 m/s².
12. A car accelerates uniformly from 1 m/s to 82 m/s in 9 s. Calculate its acceleration in m/s².
9 m/s²
Acceleration a = (v − u) ÷ t = (82 − 1) ÷ 9 = 9 m/s².

12 questions · Seed 104730 · Age guidance, not curriculum certification