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 77 m/s in 7 s. Calculate its acceleration in m/s².
u = 7 m/s → v = 77 m/s · t = 7 s
2. A car accelerates uniformly from 18 m/s to 42 m/s in 6 s. Calculate its acceleration in m/s².
u = 18 m/s → v = 42 m/s · t = 6 s
3. A car accelerates uniformly from 18 m/s to 38 m/s in 2 s. Calculate its acceleration in m/s².
u = 18 m/s → v = 38 m/s · t = 2 s
4. A car accelerates uniformly from 1 m/s to 89 m/s in 11 s. Calculate its acceleration in m/s².
u = 1 m/s → v = 89 m/s · t = 11 s
5. A car accelerates uniformly from 17 m/s to 87 m/s in 7 s. Calculate its acceleration in m/s².
u = 17 m/s → v = 87 m/s · t = 7 s
6. A car accelerates uniformly from 5 m/s to 45 m/s in 10 s. Calculate its acceleration in m/s².
u = 5 m/s → v = 45 m/s · t = 10 s
7. A car accelerates uniformly from 17 m/s to 94 m/s in 11 s. Calculate its acceleration in m/s².
u = 17 m/s → v = 94 m/s · t = 11 s
8. A car accelerates uniformly from 9 m/s to 81 m/s in 12 s. Calculate its acceleration in m/s².
u = 9 m/s → v = 81 m/s · t = 12 s
9. A car accelerates uniformly from 13 m/s to 15 m/s in 2 s. Calculate its acceleration in m/s².
u = 13 m/s → v = 15 m/s · t = 2 s
10. A car accelerates uniformly from 6 m/s to 36 m/s in 5 s. Calculate its acceleration in m/s².
u = 6 m/s → v = 36 m/s · t = 5 s
11. A car accelerates uniformly from 14 m/s to 30 m/s in 4 s. Calculate its acceleration in m/s².
u = 14 m/s → v = 30 m/s · t = 4 s
12. A car accelerates uniformly from 14 m/s to 68 m/s in 9 s. Calculate its acceleration in m/s².
u = 14 m/s → v = 68 m/s · t = 9 s

12 questions · Seed 104731 · 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 77 m/s in 7 s. Calculate its acceleration in m/s².
10 m/s²
Acceleration a = (v − u) ÷ t = (77 − 7) ÷ 7 = 10 m/s².
2. A car accelerates uniformly from 18 m/s to 42 m/s in 6 s. Calculate its acceleration in m/s².
4 m/s²
Acceleration a = (v − u) ÷ t = (42 − 18) ÷ 6 = 4 m/s².
3. A car accelerates uniformly from 18 m/s to 38 m/s in 2 s. Calculate its acceleration in m/s².
10 m/s²
Acceleration a = (v − u) ÷ t = (38 − 18) ÷ 2 = 10 m/s².
4. A car accelerates uniformly from 1 m/s to 89 m/s in 11 s. Calculate its acceleration in m/s².
8 m/s²
Acceleration a = (v − u) ÷ t = (89 − 1) ÷ 11 = 8 m/s².
5. A car accelerates uniformly from 17 m/s to 87 m/s in 7 s. Calculate its acceleration in m/s².
10 m/s²
Acceleration a = (v − u) ÷ t = (87 − 17) ÷ 7 = 10 m/s².
6. A car accelerates uniformly from 5 m/s to 45 m/s in 10 s. Calculate its acceleration in m/s².
4 m/s²
Acceleration a = (v − u) ÷ t = (45 − 5) ÷ 10 = 4 m/s².
7. A car accelerates uniformly from 17 m/s to 94 m/s in 11 s. Calculate its acceleration in m/s².
7 m/s²
Acceleration a = (v − u) ÷ t = (94 − 17) ÷ 11 = 7 m/s².
8. A car accelerates uniformly from 9 m/s to 81 m/s in 12 s. Calculate its acceleration in m/s².
6 m/s²
Acceleration a = (v − u) ÷ t = (81 − 9) ÷ 12 = 6 m/s².
9. A car accelerates uniformly from 13 m/s to 15 m/s in 2 s. Calculate its acceleration in m/s².
1 m/s²
Acceleration a = (v − u) ÷ t = (15 − 13) ÷ 2 = 1 m/s².
10. A car accelerates uniformly from 6 m/s to 36 m/s in 5 s. Calculate its acceleration in m/s².
6 m/s²
Acceleration a = (v − u) ÷ t = (36 − 6) ÷ 5 = 6 m/s².
11. A car accelerates uniformly from 14 m/s to 30 m/s in 4 s. Calculate its acceleration in m/s².
4 m/s²
Acceleration a = (v − u) ÷ t = (30 − 14) ÷ 4 = 4 m/s².
12. A car accelerates uniformly from 14 m/s to 68 m/s in 9 s. Calculate its acceleration in m/s².
6 m/s²
Acceleration a = (v − u) ÷ t = (68 − 14) ÷ 9 = 6 m/s².

12 questions · Seed 104731 · 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 77 m/s in 7 s. Calculate its acceleration in m/s².
u = 7 m/s → v = 77 m/s · t = 7 s
2. A car accelerates uniformly from 18 m/s to 42 m/s in 6 s. Calculate its acceleration in m/s².
u = 18 m/s → v = 42 m/s · t = 6 s
3. A car accelerates uniformly from 18 m/s to 38 m/s in 2 s. Calculate its acceleration in m/s².
u = 18 m/s → v = 38 m/s · t = 2 s
4. A car accelerates uniformly from 1 m/s to 89 m/s in 11 s. Calculate its acceleration in m/s².
u = 1 m/s → v = 89 m/s · t = 11 s
5. A car accelerates uniformly from 17 m/s to 87 m/s in 7 s. Calculate its acceleration in m/s².
u = 17 m/s → v = 87 m/s · t = 7 s
6. A car accelerates uniformly from 5 m/s to 45 m/s in 10 s. Calculate its acceleration in m/s².
u = 5 m/s → v = 45 m/s · t = 10 s
7. A car accelerates uniformly from 17 m/s to 94 m/s in 11 s. Calculate its acceleration in m/s².
u = 17 m/s → v = 94 m/s · t = 11 s
8. A car accelerates uniformly from 9 m/s to 81 m/s in 12 s. Calculate its acceleration in m/s².
u = 9 m/s → v = 81 m/s · t = 12 s
9. A car accelerates uniformly from 13 m/s to 15 m/s in 2 s. Calculate its acceleration in m/s².
u = 13 m/s → v = 15 m/s · t = 2 s
10. A car accelerates uniformly from 6 m/s to 36 m/s in 5 s. Calculate its acceleration in m/s².
u = 6 m/s → v = 36 m/s · t = 5 s
11. A car accelerates uniformly from 14 m/s to 30 m/s in 4 s. Calculate its acceleration in m/s².
u = 14 m/s → v = 30 m/s · t = 4 s
12. A car accelerates uniformly from 14 m/s to 68 m/s in 9 s. Calculate its acceleration in m/s².
u = 14 m/s → v = 68 m/s · t = 9 s

12 questions · Seed 104731 · 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 77 m/s in 7 s. Calculate its acceleration in m/s².
10 m/s²
Acceleration a = (v − u) ÷ t = (77 − 7) ÷ 7 = 10 m/s².
2. A car accelerates uniformly from 18 m/s to 42 m/s in 6 s. Calculate its acceleration in m/s².
4 m/s²
Acceleration a = (v − u) ÷ t = (42 − 18) ÷ 6 = 4 m/s².
3. A car accelerates uniformly from 18 m/s to 38 m/s in 2 s. Calculate its acceleration in m/s².
10 m/s²
Acceleration a = (v − u) ÷ t = (38 − 18) ÷ 2 = 10 m/s².
4. A car accelerates uniformly from 1 m/s to 89 m/s in 11 s. Calculate its acceleration in m/s².
8 m/s²
Acceleration a = (v − u) ÷ t = (89 − 1) ÷ 11 = 8 m/s².
5. A car accelerates uniformly from 17 m/s to 87 m/s in 7 s. Calculate its acceleration in m/s².
10 m/s²
Acceleration a = (v − u) ÷ t = (87 − 17) ÷ 7 = 10 m/s².
6. A car accelerates uniformly from 5 m/s to 45 m/s in 10 s. Calculate its acceleration in m/s².
4 m/s²
Acceleration a = (v − u) ÷ t = (45 − 5) ÷ 10 = 4 m/s².
7. A car accelerates uniformly from 17 m/s to 94 m/s in 11 s. Calculate its acceleration in m/s².
7 m/s²
Acceleration a = (v − u) ÷ t = (94 − 17) ÷ 11 = 7 m/s².
8. A car accelerates uniformly from 9 m/s to 81 m/s in 12 s. Calculate its acceleration in m/s².
6 m/s²
Acceleration a = (v − u) ÷ t = (81 − 9) ÷ 12 = 6 m/s².
9. A car accelerates uniformly from 13 m/s to 15 m/s in 2 s. Calculate its acceleration in m/s².
1 m/s²
Acceleration a = (v − u) ÷ t = (15 − 13) ÷ 2 = 1 m/s².
10. A car accelerates uniformly from 6 m/s to 36 m/s in 5 s. Calculate its acceleration in m/s².
6 m/s²
Acceleration a = (v − u) ÷ t = (36 − 6) ÷ 5 = 6 m/s².
11. A car accelerates uniformly from 14 m/s to 30 m/s in 4 s. Calculate its acceleration in m/s².
4 m/s²
Acceleration a = (v − u) ÷ t = (30 − 14) ÷ 4 = 4 m/s².
12. A car accelerates uniformly from 14 m/s to 68 m/s in 9 s. Calculate its acceleration in m/s².
6 m/s²
Acceleration a = (v − u) ÷ t = (68 − 14) ÷ 9 = 6 m/s².

12 questions · Seed 104731 · Age guidance, not curriculum certification