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 31 m/s in 4 s. Calculate its acceleration in m/s².
u = 3 m/s → v = 31 m/s · t = 4 s
2. A car accelerates uniformly from 13 m/s to 53 m/s in 5 s. Calculate its acceleration in m/s².
u = 13 m/s → v = 53 m/s · t = 5 s
3. A car accelerates uniformly from 18 m/s to 88 m/s in 10 s. Calculate its acceleration in m/s².
u = 18 m/s → v = 88 m/s · t = 10 s
4. A car accelerates uniformly from 15 m/s to 35 m/s in 5 s. Calculate its acceleration in m/s².
u = 15 m/s → v = 35 m/s · t = 5 s
5. A car accelerates uniformly from 14 m/s to 62 m/s in 12 s. Calculate its acceleration in m/s².
u = 14 m/s → v = 62 m/s · t = 12 s
6. A car accelerates uniformly from 9 m/s to 29 m/s in 10 s. Calculate its acceleration in m/s².
u = 9 m/s → v = 29 m/s · t = 10 s
7. A car accelerates uniformly from 8 m/s to 52 m/s in 11 s. Calculate its acceleration in m/s².
u = 8 m/s → v = 52 m/s · t = 11 s
8. A car accelerates uniformly from 12 m/s to 60 m/s in 12 s. Calculate its acceleration in m/s².
u = 12 m/s → v = 60 m/s · t = 12 s
9. A car accelerates uniformly from 3 m/s to 83 m/s in 10 s. Calculate its acceleration in m/s².
u = 3 m/s → v = 83 m/s · t = 10 s
10. A car accelerates uniformly from 16 m/s to 26 m/s in 2 s. Calculate its acceleration in m/s².
u = 16 m/s → v = 26 m/s · t = 2 s
11. A car accelerates uniformly from 9 m/s to 25 m/s in 2 s. Calculate its acceleration in m/s².
u = 9 m/s → v = 25 m/s · t = 2 s
12. A car accelerates uniformly from 14 m/s to 104 m/s in 10 s. Calculate its acceleration in m/s².
u = 14 m/s → v = 104 m/s · t = 10 s

12 questions · Seed 54 · 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 31 m/s in 4 s. Calculate its acceleration in m/s².
7 m/s²
Acceleration a = (v − u) ÷ t = (31 − 3) ÷ 4 = 7 m/s².
2. A car accelerates uniformly from 13 m/s to 53 m/s in 5 s. Calculate its acceleration in m/s².
8 m/s²
Acceleration a = (v − u) ÷ t = (53 − 13) ÷ 5 = 8 m/s².
3. A car accelerates uniformly from 18 m/s to 88 m/s in 10 s. Calculate its acceleration in m/s².
7 m/s²
Acceleration a = (v − u) ÷ t = (88 − 18) ÷ 10 = 7 m/s².
4. A car accelerates uniformly from 15 m/s to 35 m/s in 5 s. Calculate its acceleration in m/s².
4 m/s²
Acceleration a = (v − u) ÷ t = (35 − 15) ÷ 5 = 4 m/s².
5. A car accelerates uniformly from 14 m/s to 62 m/s in 12 s. Calculate its acceleration in m/s².
4 m/s²
Acceleration a = (v − u) ÷ t = (62 − 14) ÷ 12 = 4 m/s².
6. A car accelerates uniformly from 9 m/s to 29 m/s in 10 s. Calculate its acceleration in m/s².
2 m/s²
Acceleration a = (v − u) ÷ t = (29 − 9) ÷ 10 = 2 m/s².
7. A car accelerates uniformly from 8 m/s to 52 m/s in 11 s. Calculate its acceleration in m/s².
4 m/s²
Acceleration a = (v − u) ÷ t = (52 − 8) ÷ 11 = 4 m/s².
8. A car accelerates uniformly from 12 m/s to 60 m/s in 12 s. Calculate its acceleration in m/s².
4 m/s²
Acceleration a = (v − u) ÷ t = (60 − 12) ÷ 12 = 4 m/s².
9. A car accelerates uniformly from 3 m/s to 83 m/s in 10 s. Calculate its acceleration in m/s².
8 m/s²
Acceleration a = (v − u) ÷ t = (83 − 3) ÷ 10 = 8 m/s².
10. A car accelerates uniformly from 16 m/s to 26 m/s in 2 s. Calculate its acceleration in m/s².
5 m/s²
Acceleration a = (v − u) ÷ t = (26 − 16) ÷ 2 = 5 m/s².
11. A car accelerates uniformly from 9 m/s to 25 m/s in 2 s. Calculate its acceleration in m/s².
8 m/s²
Acceleration a = (v − u) ÷ t = (25 − 9) ÷ 2 = 8 m/s².
12. A car accelerates uniformly from 14 m/s to 104 m/s in 10 s. Calculate its acceleration in m/s².
9 m/s²
Acceleration a = (v − u) ÷ t = (104 − 14) ÷ 10 = 9 m/s².

12 questions · Seed 54 · 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 31 m/s in 4 s. Calculate its acceleration in m/s².
u = 3 m/s → v = 31 m/s · t = 4 s
2. A car accelerates uniformly from 13 m/s to 53 m/s in 5 s. Calculate its acceleration in m/s².
u = 13 m/s → v = 53 m/s · t = 5 s
3. A car accelerates uniformly from 18 m/s to 88 m/s in 10 s. Calculate its acceleration in m/s².
u = 18 m/s → v = 88 m/s · t = 10 s
4. A car accelerates uniformly from 15 m/s to 35 m/s in 5 s. Calculate its acceleration in m/s².
u = 15 m/s → v = 35 m/s · t = 5 s
5. A car accelerates uniformly from 14 m/s to 62 m/s in 12 s. Calculate its acceleration in m/s².
u = 14 m/s → v = 62 m/s · t = 12 s
6. A car accelerates uniformly from 9 m/s to 29 m/s in 10 s. Calculate its acceleration in m/s².
u = 9 m/s → v = 29 m/s · t = 10 s
7. A car accelerates uniformly from 8 m/s to 52 m/s in 11 s. Calculate its acceleration in m/s².
u = 8 m/s → v = 52 m/s · t = 11 s
8. A car accelerates uniformly from 12 m/s to 60 m/s in 12 s. Calculate its acceleration in m/s².
u = 12 m/s → v = 60 m/s · t = 12 s
9. A car accelerates uniformly from 3 m/s to 83 m/s in 10 s. Calculate its acceleration in m/s².
u = 3 m/s → v = 83 m/s · t = 10 s
10. A car accelerates uniformly from 16 m/s to 26 m/s in 2 s. Calculate its acceleration in m/s².
u = 16 m/s → v = 26 m/s · t = 2 s
11. A car accelerates uniformly from 9 m/s to 25 m/s in 2 s. Calculate its acceleration in m/s².
u = 9 m/s → v = 25 m/s · t = 2 s
12. A car accelerates uniformly from 14 m/s to 104 m/s in 10 s. Calculate its acceleration in m/s².
u = 14 m/s → v = 104 m/s · t = 10 s

12 questions · Seed 54 · 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 31 m/s in 4 s. Calculate its acceleration in m/s².
7 m/s²
Acceleration a = (v − u) ÷ t = (31 − 3) ÷ 4 = 7 m/s².
2. A car accelerates uniformly from 13 m/s to 53 m/s in 5 s. Calculate its acceleration in m/s².
8 m/s²
Acceleration a = (v − u) ÷ t = (53 − 13) ÷ 5 = 8 m/s².
3. A car accelerates uniformly from 18 m/s to 88 m/s in 10 s. Calculate its acceleration in m/s².
7 m/s²
Acceleration a = (v − u) ÷ t = (88 − 18) ÷ 10 = 7 m/s².
4. A car accelerates uniformly from 15 m/s to 35 m/s in 5 s. Calculate its acceleration in m/s².
4 m/s²
Acceleration a = (v − u) ÷ t = (35 − 15) ÷ 5 = 4 m/s².
5. A car accelerates uniformly from 14 m/s to 62 m/s in 12 s. Calculate its acceleration in m/s².
4 m/s²
Acceleration a = (v − u) ÷ t = (62 − 14) ÷ 12 = 4 m/s².
6. A car accelerates uniformly from 9 m/s to 29 m/s in 10 s. Calculate its acceleration in m/s².
2 m/s²
Acceleration a = (v − u) ÷ t = (29 − 9) ÷ 10 = 2 m/s².
7. A car accelerates uniformly from 8 m/s to 52 m/s in 11 s. Calculate its acceleration in m/s².
4 m/s²
Acceleration a = (v − u) ÷ t = (52 − 8) ÷ 11 = 4 m/s².
8. A car accelerates uniformly from 12 m/s to 60 m/s in 12 s. Calculate its acceleration in m/s².
4 m/s²
Acceleration a = (v − u) ÷ t = (60 − 12) ÷ 12 = 4 m/s².
9. A car accelerates uniformly from 3 m/s to 83 m/s in 10 s. Calculate its acceleration in m/s².
8 m/s²
Acceleration a = (v − u) ÷ t = (83 − 3) ÷ 10 = 8 m/s².
10. A car accelerates uniformly from 16 m/s to 26 m/s in 2 s. Calculate its acceleration in m/s².
5 m/s²
Acceleration a = (v − u) ÷ t = (26 − 16) ÷ 2 = 5 m/s².
11. A car accelerates uniformly from 9 m/s to 25 m/s in 2 s. Calculate its acceleration in m/s².
8 m/s²
Acceleration a = (v − u) ÷ t = (25 − 9) ÷ 2 = 8 m/s².
12. A car accelerates uniformly from 14 m/s to 104 m/s in 10 s. Calculate its acceleration in m/s².
9 m/s²
Acceleration a = (v − u) ÷ t = (104 − 14) ÷ 10 = 9 m/s².

12 questions · Seed 54 · Age guidance, not curriculum certification