ScienceAges 13-15

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 13-15

Acceleration & velocity change

Take your time. Show your thinking.

1. A car accelerates uniformly from 13 m/s to 23 m/s in 5 s. Calculate its acceleration in m/s².
u = 13 m/s → v = 23 m/s · t = 5 s
2. A car accelerates uniformly from 11 m/s to 35 m/s in 6 s. Calculate its acceleration in m/s².
u = 11 m/s → v = 35 m/s · t = 6 s
3. A car accelerates uniformly from 2 m/s to 44 m/s in 7 s. Calculate its acceleration in m/s².
u = 2 m/s → v = 44 m/s · t = 7 s
4. A car accelerates uniformly from 13 m/s to 37 m/s in 3 s. Calculate its acceleration in m/s².
u = 13 m/s → v = 37 m/s · t = 3 s
5. A car accelerates uniformly from 13 m/s to 123 m/s in 11 s. Calculate its acceleration in m/s².
u = 13 m/s → v = 123 m/s · t = 11 s
6. A car accelerates uniformly from 18 m/s to 128 m/s in 11 s. Calculate its acceleration in m/s².
u = 18 m/s → v = 128 m/s · t = 11 s
7. A car accelerates uniformly from 20 m/s to 38 m/s in 9 s. Calculate its acceleration in m/s².
u = 20 m/s → v = 38 m/s · t = 9 s
8. A car accelerates uniformly from 14 m/s to 38 m/s in 3 s. Calculate its acceleration in m/s².
u = 14 m/s → v = 38 m/s · t = 3 s
9. A car accelerates uniformly from 5 m/s to 11 m/s in 2 s. Calculate its acceleration in m/s².
u = 5 m/s → v = 11 m/s · t = 2 s
10. A car accelerates uniformly from 7 m/s to 15 m/s in 2 s. Calculate its acceleration in m/s².
u = 7 m/s → v = 15 m/s · t = 2 s
11. A car accelerates uniformly from 16 m/s to 58 m/s in 7 s. Calculate its acceleration in m/s².
u = 16 m/s → v = 58 m/s · t = 7 s
12. A car accelerates uniformly from 4 m/s to 46 m/s in 6 s. Calculate its acceleration in m/s².
u = 4 m/s → v = 46 m/s · t = 6 s

12 questions · Seed 46 · Age guidance, not curriculum certification

View the answer key

Worksheet StudioAnswer key · Ages 13-15

Acceleration & velocity change

Answers and reasoning. Review before teaching.

1. A car accelerates uniformly from 13 m/s to 23 m/s in 5 s. Calculate its acceleration in m/s².
2 m/s²
Acceleration a = (v − u) ÷ t = (23 − 13) ÷ 5 = 2 m/s².
2. A car accelerates uniformly from 11 m/s to 35 m/s in 6 s. Calculate its acceleration in m/s².
4 m/s²
Acceleration a = (v − u) ÷ t = (35 − 11) ÷ 6 = 4 m/s².
3. A car accelerates uniformly from 2 m/s to 44 m/s in 7 s. Calculate its acceleration in m/s².
6 m/s²
Acceleration a = (v − u) ÷ t = (44 − 2) ÷ 7 = 6 m/s².
4. A car accelerates uniformly from 13 m/s to 37 m/s in 3 s. Calculate its acceleration in m/s².
8 m/s²
Acceleration a = (v − u) ÷ t = (37 − 13) ÷ 3 = 8 m/s².
5. A car accelerates uniformly from 13 m/s to 123 m/s in 11 s. Calculate its acceleration in m/s².
10 m/s²
Acceleration a = (v − u) ÷ t = (123 − 13) ÷ 11 = 10 m/s².
6. A car accelerates uniformly from 18 m/s to 128 m/s in 11 s. Calculate its acceleration in m/s².
10 m/s²
Acceleration a = (v − u) ÷ t = (128 − 18) ÷ 11 = 10 m/s².
7. A car accelerates uniformly from 20 m/s to 38 m/s in 9 s. Calculate its acceleration in m/s².
2 m/s²
Acceleration a = (v − u) ÷ t = (38 − 20) ÷ 9 = 2 m/s².
8. A car accelerates uniformly from 14 m/s to 38 m/s in 3 s. Calculate its acceleration in m/s².
8 m/s²
Acceleration a = (v − u) ÷ t = (38 − 14) ÷ 3 = 8 m/s².
9. A car accelerates uniformly from 5 m/s to 11 m/s in 2 s. Calculate its acceleration in m/s².
3 m/s²
Acceleration a = (v − u) ÷ t = (11 − 5) ÷ 2 = 3 m/s².
10. A car accelerates uniformly from 7 m/s to 15 m/s in 2 s. Calculate its acceleration in m/s².
4 m/s²
Acceleration a = (v − u) ÷ t = (15 − 7) ÷ 2 = 4 m/s².
11. A car accelerates uniformly from 16 m/s to 58 m/s in 7 s. Calculate its acceleration in m/s².
6 m/s²
Acceleration a = (v − u) ÷ t = (58 − 16) ÷ 7 = 6 m/s².
12. A car accelerates uniformly from 4 m/s to 46 m/s in 6 s. Calculate its acceleration in m/s².
7 m/s²
Acceleration a = (v − u) ÷ t = (46 − 4) ÷ 6 = 7 m/s².

12 questions · Seed 46 · Age guidance, not curriculum certification

Worksheet StudioPractice pack · Ages 13-15

Acceleration & velocity change

Take your time. Show your thinking.

1. A car accelerates uniformly from 13 m/s to 23 m/s in 5 s. Calculate its acceleration in m/s².
u = 13 m/s → v = 23 m/s · t = 5 s
2. A car accelerates uniformly from 11 m/s to 35 m/s in 6 s. Calculate its acceleration in m/s².
u = 11 m/s → v = 35 m/s · t = 6 s
3. A car accelerates uniformly from 2 m/s to 44 m/s in 7 s. Calculate its acceleration in m/s².
u = 2 m/s → v = 44 m/s · t = 7 s
4. A car accelerates uniformly from 13 m/s to 37 m/s in 3 s. Calculate its acceleration in m/s².
u = 13 m/s → v = 37 m/s · t = 3 s
5. A car accelerates uniformly from 13 m/s to 123 m/s in 11 s. Calculate its acceleration in m/s².
u = 13 m/s → v = 123 m/s · t = 11 s
6. A car accelerates uniformly from 18 m/s to 128 m/s in 11 s. Calculate its acceleration in m/s².
u = 18 m/s → v = 128 m/s · t = 11 s
7. A car accelerates uniformly from 20 m/s to 38 m/s in 9 s. Calculate its acceleration in m/s².
u = 20 m/s → v = 38 m/s · t = 9 s
8. A car accelerates uniformly from 14 m/s to 38 m/s in 3 s. Calculate its acceleration in m/s².
u = 14 m/s → v = 38 m/s · t = 3 s
9. A car accelerates uniformly from 5 m/s to 11 m/s in 2 s. Calculate its acceleration in m/s².
u = 5 m/s → v = 11 m/s · t = 2 s
10. A car accelerates uniformly from 7 m/s to 15 m/s in 2 s. Calculate its acceleration in m/s².
u = 7 m/s → v = 15 m/s · t = 2 s
11. A car accelerates uniformly from 16 m/s to 58 m/s in 7 s. Calculate its acceleration in m/s².
u = 16 m/s → v = 58 m/s · t = 7 s
12. A car accelerates uniformly from 4 m/s to 46 m/s in 6 s. Calculate its acceleration in m/s².
u = 4 m/s → v = 46 m/s · t = 6 s

12 questions · Seed 46 · Age guidance, not curriculum certification

Worksheet StudioAnswer key · Ages 13-15

Acceleration & velocity change

Answers and reasoning. Review before teaching.

1. A car accelerates uniformly from 13 m/s to 23 m/s in 5 s. Calculate its acceleration in m/s².
2 m/s²
Acceleration a = (v − u) ÷ t = (23 − 13) ÷ 5 = 2 m/s².
2. A car accelerates uniformly from 11 m/s to 35 m/s in 6 s. Calculate its acceleration in m/s².
4 m/s²
Acceleration a = (v − u) ÷ t = (35 − 11) ÷ 6 = 4 m/s².
3. A car accelerates uniformly from 2 m/s to 44 m/s in 7 s. Calculate its acceleration in m/s².
6 m/s²
Acceleration a = (v − u) ÷ t = (44 − 2) ÷ 7 = 6 m/s².
4. A car accelerates uniformly from 13 m/s to 37 m/s in 3 s. Calculate its acceleration in m/s².
8 m/s²
Acceleration a = (v − u) ÷ t = (37 − 13) ÷ 3 = 8 m/s².
5. A car accelerates uniformly from 13 m/s to 123 m/s in 11 s. Calculate its acceleration in m/s².
10 m/s²
Acceleration a = (v − u) ÷ t = (123 − 13) ÷ 11 = 10 m/s².
6. A car accelerates uniformly from 18 m/s to 128 m/s in 11 s. Calculate its acceleration in m/s².
10 m/s²
Acceleration a = (v − u) ÷ t = (128 − 18) ÷ 11 = 10 m/s².
7. A car accelerates uniformly from 20 m/s to 38 m/s in 9 s. Calculate its acceleration in m/s².
2 m/s²
Acceleration a = (v − u) ÷ t = (38 − 20) ÷ 9 = 2 m/s².
8. A car accelerates uniformly from 14 m/s to 38 m/s in 3 s. Calculate its acceleration in m/s².
8 m/s²
Acceleration a = (v − u) ÷ t = (38 − 14) ÷ 3 = 8 m/s².
9. A car accelerates uniformly from 5 m/s to 11 m/s in 2 s. Calculate its acceleration in m/s².
3 m/s²
Acceleration a = (v − u) ÷ t = (11 − 5) ÷ 2 = 3 m/s².
10. A car accelerates uniformly from 7 m/s to 15 m/s in 2 s. Calculate its acceleration in m/s².
4 m/s²
Acceleration a = (v − u) ÷ t = (15 − 7) ÷ 2 = 4 m/s².
11. A car accelerates uniformly from 16 m/s to 58 m/s in 7 s. Calculate its acceleration in m/s².
6 m/s²
Acceleration a = (v − u) ÷ t = (58 − 16) ÷ 7 = 6 m/s².
12. A car accelerates uniformly from 4 m/s to 46 m/s in 6 s. Calculate its acceleration in m/s².
7 m/s²
Acceleration a = (v − u) ÷ t = (46 − 4) ÷ 6 = 7 m/s².

12 questions · Seed 46 · Age guidance, not curriculum certification