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 7 m/s to 52 m/s in 9 s. Calculate its acceleration in m/s².
u = 7 m/s → v = 52 m/s · t = 9 s
2. A car accelerates uniformly from 10 m/s to 46 m/s in 4 s. Calculate its acceleration in m/s².
u = 10 m/s → v = 46 m/s · t = 4 s
3. A car accelerates uniformly from 10 m/s to 45 m/s in 5 s. Calculate its acceleration in m/s².
u = 10 m/s → v = 45 m/s · t = 5 s
4. A car accelerates uniformly from 1 m/s to 16 m/s in 5 s. Calculate its acceleration in m/s².
u = 1 m/s → v = 16 m/s · t = 5 s
5. A car accelerates uniformly from 5 m/s to 49 m/s in 11 s. Calculate its acceleration in m/s².
u = 5 m/s → v = 49 m/s · t = 11 s
6. A car accelerates uniformly from 11 m/s to 23 m/s in 6 s. Calculate its acceleration in m/s².
u = 11 m/s → v = 23 m/s · t = 6 s
7. A car accelerates uniformly from 20 m/s to 44 m/s in 12 s. Calculate its acceleration in m/s².
u = 20 m/s → v = 44 m/s · t = 12 s
8. A car accelerates uniformly from 14 m/s to 26 m/s in 12 s. Calculate its acceleration in m/s².
u = 14 m/s → v = 26 m/s · t = 12 s
9. A car accelerates uniformly from 4 m/s to 14 m/s in 10 s. Calculate its acceleration in m/s².
u = 4 m/s → v = 14 m/s · t = 10 s
10. A car accelerates uniformly from 7 m/s to 25 m/s in 9 s. Calculate its acceleration in m/s².
u = 7 m/s → v = 25 m/s · t = 9 s
11. A car accelerates uniformly from 18 m/s to 39 m/s in 7 s. Calculate its acceleration in m/s².
u = 18 m/s → v = 39 m/s · t = 7 s
12. A car accelerates uniformly from 6 m/s to 114 m/s in 12 s. Calculate its acceleration in m/s².
u = 6 m/s → v = 114 m/s · t = 12 s

12 questions · Seed 53 · 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 7 m/s to 52 m/s in 9 s. Calculate its acceleration in m/s².
5 m/s²
Acceleration a = (v − u) ÷ t = (52 − 7) ÷ 9 = 5 m/s².
2. A car accelerates uniformly from 10 m/s to 46 m/s in 4 s. Calculate its acceleration in m/s².
9 m/s²
Acceleration a = (v − u) ÷ t = (46 − 10) ÷ 4 = 9 m/s².
3. A car accelerates uniformly from 10 m/s to 45 m/s in 5 s. Calculate its acceleration in m/s².
7 m/s²
Acceleration a = (v − u) ÷ t = (45 − 10) ÷ 5 = 7 m/s².
4. A car accelerates uniformly from 1 m/s to 16 m/s in 5 s. Calculate its acceleration in m/s².
3 m/s²
Acceleration a = (v − u) ÷ t = (16 − 1) ÷ 5 = 3 m/s².
5. A car accelerates uniformly from 5 m/s to 49 m/s in 11 s. Calculate its acceleration in m/s².
4 m/s²
Acceleration a = (v − u) ÷ t = (49 − 5) ÷ 11 = 4 m/s².
6. A car accelerates uniformly from 11 m/s to 23 m/s in 6 s. Calculate its acceleration in m/s².
2 m/s²
Acceleration a = (v − u) ÷ t = (23 − 11) ÷ 6 = 2 m/s².
7. A car accelerates uniformly from 20 m/s to 44 m/s in 12 s. Calculate its acceleration in m/s².
2 m/s²
Acceleration a = (v − u) ÷ t = (44 − 20) ÷ 12 = 2 m/s².
8. A car accelerates uniformly from 14 m/s to 26 m/s in 12 s. Calculate its acceleration in m/s².
1 m/s²
Acceleration a = (v − u) ÷ t = (26 − 14) ÷ 12 = 1 m/s².
9. A car accelerates uniformly from 4 m/s to 14 m/s in 10 s. Calculate its acceleration in m/s².
1 m/s²
Acceleration a = (v − u) ÷ t = (14 − 4) ÷ 10 = 1 m/s².
10. A car accelerates uniformly from 7 m/s to 25 m/s in 9 s. Calculate its acceleration in m/s².
2 m/s²
Acceleration a = (v − u) ÷ t = (25 − 7) ÷ 9 = 2 m/s².
11. A car accelerates uniformly from 18 m/s to 39 m/s in 7 s. Calculate its acceleration in m/s².
3 m/s²
Acceleration a = (v − u) ÷ t = (39 − 18) ÷ 7 = 3 m/s².
12. A car accelerates uniformly from 6 m/s to 114 m/s in 12 s. Calculate its acceleration in m/s².
9 m/s²
Acceleration a = (v − u) ÷ t = (114 − 6) ÷ 12 = 9 m/s².

12 questions · Seed 53 · 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 7 m/s to 52 m/s in 9 s. Calculate its acceleration in m/s².
u = 7 m/s → v = 52 m/s · t = 9 s
2. A car accelerates uniformly from 10 m/s to 46 m/s in 4 s. Calculate its acceleration in m/s².
u = 10 m/s → v = 46 m/s · t = 4 s
3. A car accelerates uniformly from 10 m/s to 45 m/s in 5 s. Calculate its acceleration in m/s².
u = 10 m/s → v = 45 m/s · t = 5 s
4. A car accelerates uniformly from 1 m/s to 16 m/s in 5 s. Calculate its acceleration in m/s².
u = 1 m/s → v = 16 m/s · t = 5 s
5. A car accelerates uniformly from 5 m/s to 49 m/s in 11 s. Calculate its acceleration in m/s².
u = 5 m/s → v = 49 m/s · t = 11 s
6. A car accelerates uniformly from 11 m/s to 23 m/s in 6 s. Calculate its acceleration in m/s².
u = 11 m/s → v = 23 m/s · t = 6 s
7. A car accelerates uniformly from 20 m/s to 44 m/s in 12 s. Calculate its acceleration in m/s².
u = 20 m/s → v = 44 m/s · t = 12 s
8. A car accelerates uniformly from 14 m/s to 26 m/s in 12 s. Calculate its acceleration in m/s².
u = 14 m/s → v = 26 m/s · t = 12 s
9. A car accelerates uniformly from 4 m/s to 14 m/s in 10 s. Calculate its acceleration in m/s².
u = 4 m/s → v = 14 m/s · t = 10 s
10. A car accelerates uniformly from 7 m/s to 25 m/s in 9 s. Calculate its acceleration in m/s².
u = 7 m/s → v = 25 m/s · t = 9 s
11. A car accelerates uniformly from 18 m/s to 39 m/s in 7 s. Calculate its acceleration in m/s².
u = 18 m/s → v = 39 m/s · t = 7 s
12. A car accelerates uniformly from 6 m/s to 114 m/s in 12 s. Calculate its acceleration in m/s².
u = 6 m/s → v = 114 m/s · t = 12 s

12 questions · Seed 53 · 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 7 m/s to 52 m/s in 9 s. Calculate its acceleration in m/s².
5 m/s²
Acceleration a = (v − u) ÷ t = (52 − 7) ÷ 9 = 5 m/s².
2. A car accelerates uniformly from 10 m/s to 46 m/s in 4 s. Calculate its acceleration in m/s².
9 m/s²
Acceleration a = (v − u) ÷ t = (46 − 10) ÷ 4 = 9 m/s².
3. A car accelerates uniformly from 10 m/s to 45 m/s in 5 s. Calculate its acceleration in m/s².
7 m/s²
Acceleration a = (v − u) ÷ t = (45 − 10) ÷ 5 = 7 m/s².
4. A car accelerates uniformly from 1 m/s to 16 m/s in 5 s. Calculate its acceleration in m/s².
3 m/s²
Acceleration a = (v − u) ÷ t = (16 − 1) ÷ 5 = 3 m/s².
5. A car accelerates uniformly from 5 m/s to 49 m/s in 11 s. Calculate its acceleration in m/s².
4 m/s²
Acceleration a = (v − u) ÷ t = (49 − 5) ÷ 11 = 4 m/s².
6. A car accelerates uniformly from 11 m/s to 23 m/s in 6 s. Calculate its acceleration in m/s².
2 m/s²
Acceleration a = (v − u) ÷ t = (23 − 11) ÷ 6 = 2 m/s².
7. A car accelerates uniformly from 20 m/s to 44 m/s in 12 s. Calculate its acceleration in m/s².
2 m/s²
Acceleration a = (v − u) ÷ t = (44 − 20) ÷ 12 = 2 m/s².
8. A car accelerates uniformly from 14 m/s to 26 m/s in 12 s. Calculate its acceleration in m/s².
1 m/s²
Acceleration a = (v − u) ÷ t = (26 − 14) ÷ 12 = 1 m/s².
9. A car accelerates uniformly from 4 m/s to 14 m/s in 10 s. Calculate its acceleration in m/s².
1 m/s²
Acceleration a = (v − u) ÷ t = (14 − 4) ÷ 10 = 1 m/s².
10. A car accelerates uniformly from 7 m/s to 25 m/s in 9 s. Calculate its acceleration in m/s².
2 m/s²
Acceleration a = (v − u) ÷ t = (25 − 7) ÷ 9 = 2 m/s².
11. A car accelerates uniformly from 18 m/s to 39 m/s in 7 s. Calculate its acceleration in m/s².
3 m/s²
Acceleration a = (v − u) ÷ t = (39 − 18) ÷ 7 = 3 m/s².
12. A car accelerates uniformly from 6 m/s to 114 m/s in 12 s. Calculate its acceleration in m/s².
9 m/s²
Acceleration a = (v − u) ÷ t = (114 − 6) ÷ 12 = 9 m/s².

12 questions · Seed 53 · Age guidance, not curriculum certification