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 5 m/s to 47 m/s in 6 s. Calculate its acceleration in m/s².
u = 5 m/s → v = 47 m/s · t = 6 s
2. A car accelerates uniformly from 8 m/s to 71 m/s in 9 s. Calculate its acceleration in m/s².
u = 8 m/s → v = 71 m/s · t = 9 s
3. A car accelerates uniformly from 17 m/s to 62 m/s in 5 s. Calculate its acceleration in m/s².
u = 17 m/s → v = 62 m/s · t = 5 s
4. A car accelerates uniformly from 17 m/s to 25 m/s in 2 s. Calculate its acceleration in m/s².
u = 17 m/s → v = 25 m/s · t = 2 s
5. A car accelerates uniformly from 7 m/s to 63 m/s in 7 s. Calculate its acceleration in m/s².
u = 7 m/s → v = 63 m/s · t = 7 s
6. A car accelerates uniformly from 6 m/s to 34 m/s in 7 s. Calculate its acceleration in m/s².
u = 6 m/s → v = 34 m/s · t = 7 s
7. A car accelerates uniformly from 9 m/s to 79 m/s in 10 s. Calculate its acceleration in m/s².
u = 9 m/s → v = 79 m/s · t = 10 s
8. A car accelerates uniformly from 14 m/s to 38 m/s in 4 s. Calculate its acceleration in m/s².
u = 14 m/s → v = 38 m/s · t = 4 s
9. A car accelerates uniformly from 9 m/s to 27 m/s in 6 s. Calculate its acceleration in m/s².
u = 9 m/s → v = 27 m/s · t = 6 s
10. A car accelerates uniformly from 17 m/s to 29 m/s in 6 s. Calculate its acceleration in m/s².
u = 17 m/s → v = 29 m/s · t = 6 s
11. A car accelerates uniformly from 1 m/s to 8 m/s in 7 s. Calculate its acceleration in m/s².
u = 1 m/s → v = 8 m/s · t = 7 s
12. A car accelerates uniformly from 3 m/s to 30 m/s in 9 s. Calculate its acceleration in m/s².
u = 3 m/s → v = 30 m/s · t = 9 s

12 questions · Seed 57 · 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 5 m/s to 47 m/s in 6 s. Calculate its acceleration in m/s².
7 m/s²
Acceleration a = (v − u) ÷ t = (47 − 5) ÷ 6 = 7 m/s².
2. A car accelerates uniformly from 8 m/s to 71 m/s in 9 s. Calculate its acceleration in m/s².
7 m/s²
Acceleration a = (v − u) ÷ t = (71 − 8) ÷ 9 = 7 m/s².
3. A car accelerates uniformly from 17 m/s to 62 m/s in 5 s. Calculate its acceleration in m/s².
9 m/s²
Acceleration a = (v − u) ÷ t = (62 − 17) ÷ 5 = 9 m/s².
4. A car accelerates uniformly from 17 m/s to 25 m/s in 2 s. Calculate its acceleration in m/s².
4 m/s²
Acceleration a = (v − u) ÷ t = (25 − 17) ÷ 2 = 4 m/s².
5. A car accelerates uniformly from 7 m/s to 63 m/s in 7 s. Calculate its acceleration in m/s².
8 m/s²
Acceleration a = (v − u) ÷ t = (63 − 7) ÷ 7 = 8 m/s².
6. A car accelerates uniformly from 6 m/s to 34 m/s in 7 s. Calculate its acceleration in m/s².
4 m/s²
Acceleration a = (v − u) ÷ t = (34 − 6) ÷ 7 = 4 m/s².
7. A car accelerates uniformly from 9 m/s to 79 m/s in 10 s. Calculate its acceleration in m/s².
7 m/s²
Acceleration a = (v − u) ÷ t = (79 − 9) ÷ 10 = 7 m/s².
8. A car accelerates uniformly from 14 m/s to 38 m/s in 4 s. Calculate its acceleration in m/s².
6 m/s²
Acceleration a = (v − u) ÷ t = (38 − 14) ÷ 4 = 6 m/s².
9. A car accelerates uniformly from 9 m/s to 27 m/s in 6 s. Calculate its acceleration in m/s².
3 m/s²
Acceleration a = (v − u) ÷ t = (27 − 9) ÷ 6 = 3 m/s².
10. A car accelerates uniformly from 17 m/s to 29 m/s in 6 s. Calculate its acceleration in m/s².
2 m/s²
Acceleration a = (v − u) ÷ t = (29 − 17) ÷ 6 = 2 m/s².
11. A car accelerates uniformly from 1 m/s to 8 m/s in 7 s. Calculate its acceleration in m/s².
1 m/s²
Acceleration a = (v − u) ÷ t = (8 − 1) ÷ 7 = 1 m/s².
12. A car accelerates uniformly from 3 m/s to 30 m/s in 9 s. Calculate its acceleration in m/s².
3 m/s²
Acceleration a = (v − u) ÷ t = (30 − 3) ÷ 9 = 3 m/s².

12 questions · Seed 57 · 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 5 m/s to 47 m/s in 6 s. Calculate its acceleration in m/s².
u = 5 m/s → v = 47 m/s · t = 6 s
2. A car accelerates uniformly from 8 m/s to 71 m/s in 9 s. Calculate its acceleration in m/s².
u = 8 m/s → v = 71 m/s · t = 9 s
3. A car accelerates uniformly from 17 m/s to 62 m/s in 5 s. Calculate its acceleration in m/s².
u = 17 m/s → v = 62 m/s · t = 5 s
4. A car accelerates uniformly from 17 m/s to 25 m/s in 2 s. Calculate its acceleration in m/s².
u = 17 m/s → v = 25 m/s · t = 2 s
5. A car accelerates uniformly from 7 m/s to 63 m/s in 7 s. Calculate its acceleration in m/s².
u = 7 m/s → v = 63 m/s · t = 7 s
6. A car accelerates uniformly from 6 m/s to 34 m/s in 7 s. Calculate its acceleration in m/s².
u = 6 m/s → v = 34 m/s · t = 7 s
7. A car accelerates uniformly from 9 m/s to 79 m/s in 10 s. Calculate its acceleration in m/s².
u = 9 m/s → v = 79 m/s · t = 10 s
8. A car accelerates uniformly from 14 m/s to 38 m/s in 4 s. Calculate its acceleration in m/s².
u = 14 m/s → v = 38 m/s · t = 4 s
9. A car accelerates uniformly from 9 m/s to 27 m/s in 6 s. Calculate its acceleration in m/s².
u = 9 m/s → v = 27 m/s · t = 6 s
10. A car accelerates uniformly from 17 m/s to 29 m/s in 6 s. Calculate its acceleration in m/s².
u = 17 m/s → v = 29 m/s · t = 6 s
11. A car accelerates uniformly from 1 m/s to 8 m/s in 7 s. Calculate its acceleration in m/s².
u = 1 m/s → v = 8 m/s · t = 7 s
12. A car accelerates uniformly from 3 m/s to 30 m/s in 9 s. Calculate its acceleration in m/s².
u = 3 m/s → v = 30 m/s · t = 9 s

12 questions · Seed 57 · 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 5 m/s to 47 m/s in 6 s. Calculate its acceleration in m/s².
7 m/s²
Acceleration a = (v − u) ÷ t = (47 − 5) ÷ 6 = 7 m/s².
2. A car accelerates uniformly from 8 m/s to 71 m/s in 9 s. Calculate its acceleration in m/s².
7 m/s²
Acceleration a = (v − u) ÷ t = (71 − 8) ÷ 9 = 7 m/s².
3. A car accelerates uniformly from 17 m/s to 62 m/s in 5 s. Calculate its acceleration in m/s².
9 m/s²
Acceleration a = (v − u) ÷ t = (62 − 17) ÷ 5 = 9 m/s².
4. A car accelerates uniformly from 17 m/s to 25 m/s in 2 s. Calculate its acceleration in m/s².
4 m/s²
Acceleration a = (v − u) ÷ t = (25 − 17) ÷ 2 = 4 m/s².
5. A car accelerates uniformly from 7 m/s to 63 m/s in 7 s. Calculate its acceleration in m/s².
8 m/s²
Acceleration a = (v − u) ÷ t = (63 − 7) ÷ 7 = 8 m/s².
6. A car accelerates uniformly from 6 m/s to 34 m/s in 7 s. Calculate its acceleration in m/s².
4 m/s²
Acceleration a = (v − u) ÷ t = (34 − 6) ÷ 7 = 4 m/s².
7. A car accelerates uniformly from 9 m/s to 79 m/s in 10 s. Calculate its acceleration in m/s².
7 m/s²
Acceleration a = (v − u) ÷ t = (79 − 9) ÷ 10 = 7 m/s².
8. A car accelerates uniformly from 14 m/s to 38 m/s in 4 s. Calculate its acceleration in m/s².
6 m/s²
Acceleration a = (v − u) ÷ t = (38 − 14) ÷ 4 = 6 m/s².
9. A car accelerates uniformly from 9 m/s to 27 m/s in 6 s. Calculate its acceleration in m/s².
3 m/s²
Acceleration a = (v − u) ÷ t = (27 − 9) ÷ 6 = 3 m/s².
10. A car accelerates uniformly from 17 m/s to 29 m/s in 6 s. Calculate its acceleration in m/s².
2 m/s²
Acceleration a = (v − u) ÷ t = (29 − 17) ÷ 6 = 2 m/s².
11. A car accelerates uniformly from 1 m/s to 8 m/s in 7 s. Calculate its acceleration in m/s².
1 m/s²
Acceleration a = (v − u) ÷ t = (8 − 1) ÷ 7 = 1 m/s².
12. A car accelerates uniformly from 3 m/s to 30 m/s in 9 s. Calculate its acceleration in m/s².
3 m/s²
Acceleration a = (v − u) ÷ t = (30 − 3) ÷ 9 = 3 m/s².

12 questions · Seed 57 · Age guidance, not curriculum certification