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 2 m/s to 8 m/s in 2 s. Calculate its acceleration in m/s².
u = 2 m/s → v = 8 m/s · t = 2 s
2. A car accelerates uniformly from 10 m/s to 42 m/s in 8 s. Calculate its acceleration in m/s².
u = 10 m/s → v = 42 m/s · t = 8 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 6 m/s to 38 m/s in 4 s. Calculate its acceleration in m/s².
u = 6 m/s → v = 38 m/s · t = 4 s
5. A car accelerates uniformly from 10 m/s to 110 m/s in 10 s. Calculate its acceleration in m/s².
u = 10 m/s → v = 110 m/s · t = 10 s
6. A car accelerates uniformly from 4 m/s to 112 m/s in 12 s. Calculate its acceleration in m/s².
u = 4 m/s → v = 112 m/s · t = 12 s
7. A car accelerates uniformly from 14 m/s to 32 m/s in 9 s. Calculate its acceleration in m/s².
u = 14 m/s → v = 32 m/s · t = 9 s
8. A car accelerates uniformly from 8 m/s to 72 m/s in 8 s. Calculate its acceleration in m/s².
u = 8 m/s → v = 72 m/s · t = 8 s
9. A car accelerates uniformly from 16 m/s to 40 m/s in 12 s. Calculate its acceleration in m/s².
u = 16 m/s → v = 40 m/s · t = 12 s
10. A car accelerates uniformly from 9 m/s to 69 m/s in 6 s. Calculate its acceleration in m/s².
u = 9 m/s → v = 69 m/s · t = 6 s
11. A car accelerates uniformly from 1 m/s to 19 m/s in 3 s. Calculate its acceleration in m/s².
u = 1 m/s → v = 19 m/s · t = 3 s
12. A car accelerates uniformly from 15 m/s to 33 m/s in 3 s. Calculate its acceleration in m/s².
u = 15 m/s → v = 33 m/s · t = 3 s

12 questions · Seed 104732 · 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 2 m/s to 8 m/s in 2 s. Calculate its acceleration in m/s².
3 m/s²
Acceleration a = (v − u) ÷ t = (8 − 2) ÷ 2 = 3 m/s².
2. A car accelerates uniformly from 10 m/s to 42 m/s in 8 s. Calculate its acceleration in m/s².
4 m/s²
Acceleration a = (v − u) ÷ t = (42 − 10) ÷ 8 = 4 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 6 m/s to 38 m/s in 4 s. Calculate its acceleration in m/s².
8 m/s²
Acceleration a = (v − u) ÷ t = (38 − 6) ÷ 4 = 8 m/s².
5. A car accelerates uniformly from 10 m/s to 110 m/s in 10 s. Calculate its acceleration in m/s².
10 m/s²
Acceleration a = (v − u) ÷ t = (110 − 10) ÷ 10 = 10 m/s².
6. A car accelerates uniformly from 4 m/s to 112 m/s in 12 s. Calculate its acceleration in m/s².
9 m/s²
Acceleration a = (v − u) ÷ t = (112 − 4) ÷ 12 = 9 m/s².
7. A car accelerates uniformly from 14 m/s to 32 m/s in 9 s. Calculate its acceleration in m/s².
2 m/s²
Acceleration a = (v − u) ÷ t = (32 − 14) ÷ 9 = 2 m/s².
8. A car accelerates uniformly from 8 m/s to 72 m/s in 8 s. Calculate its acceleration in m/s².
8 m/s²
Acceleration a = (v − u) ÷ t = (72 − 8) ÷ 8 = 8 m/s².
9. A car accelerates uniformly from 16 m/s to 40 m/s in 12 s. Calculate its acceleration in m/s².
2 m/s²
Acceleration a = (v − u) ÷ t = (40 − 16) ÷ 12 = 2 m/s².
10. A car accelerates uniformly from 9 m/s to 69 m/s in 6 s. Calculate its acceleration in m/s².
10 m/s²
Acceleration a = (v − u) ÷ t = (69 − 9) ÷ 6 = 10 m/s².
11. A car accelerates uniformly from 1 m/s to 19 m/s in 3 s. Calculate its acceleration in m/s².
6 m/s²
Acceleration a = (v − u) ÷ t = (19 − 1) ÷ 3 = 6 m/s².
12. A car accelerates uniformly from 15 m/s to 33 m/s in 3 s. Calculate its acceleration in m/s².
6 m/s²
Acceleration a = (v − u) ÷ t = (33 − 15) ÷ 3 = 6 m/s².

12 questions · Seed 104732 · 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 2 m/s to 8 m/s in 2 s. Calculate its acceleration in m/s².
u = 2 m/s → v = 8 m/s · t = 2 s
2. A car accelerates uniformly from 10 m/s to 42 m/s in 8 s. Calculate its acceleration in m/s².
u = 10 m/s → v = 42 m/s · t = 8 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 6 m/s to 38 m/s in 4 s. Calculate its acceleration in m/s².
u = 6 m/s → v = 38 m/s · t = 4 s
5. A car accelerates uniformly from 10 m/s to 110 m/s in 10 s. Calculate its acceleration in m/s².
u = 10 m/s → v = 110 m/s · t = 10 s
6. A car accelerates uniformly from 4 m/s to 112 m/s in 12 s. Calculate its acceleration in m/s².
u = 4 m/s → v = 112 m/s · t = 12 s
7. A car accelerates uniformly from 14 m/s to 32 m/s in 9 s. Calculate its acceleration in m/s².
u = 14 m/s → v = 32 m/s · t = 9 s
8. A car accelerates uniformly from 8 m/s to 72 m/s in 8 s. Calculate its acceleration in m/s².
u = 8 m/s → v = 72 m/s · t = 8 s
9. A car accelerates uniformly from 16 m/s to 40 m/s in 12 s. Calculate its acceleration in m/s².
u = 16 m/s → v = 40 m/s · t = 12 s
10. A car accelerates uniformly from 9 m/s to 69 m/s in 6 s. Calculate its acceleration in m/s².
u = 9 m/s → v = 69 m/s · t = 6 s
11. A car accelerates uniformly from 1 m/s to 19 m/s in 3 s. Calculate its acceleration in m/s².
u = 1 m/s → v = 19 m/s · t = 3 s
12. A car accelerates uniformly from 15 m/s to 33 m/s in 3 s. Calculate its acceleration in m/s².
u = 15 m/s → v = 33 m/s · t = 3 s

12 questions · Seed 104732 · 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 2 m/s to 8 m/s in 2 s. Calculate its acceleration in m/s².
3 m/s²
Acceleration a = (v − u) ÷ t = (8 − 2) ÷ 2 = 3 m/s².
2. A car accelerates uniformly from 10 m/s to 42 m/s in 8 s. Calculate its acceleration in m/s².
4 m/s²
Acceleration a = (v − u) ÷ t = (42 − 10) ÷ 8 = 4 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 6 m/s to 38 m/s in 4 s. Calculate its acceleration in m/s².
8 m/s²
Acceleration a = (v − u) ÷ t = (38 − 6) ÷ 4 = 8 m/s².
5. A car accelerates uniformly from 10 m/s to 110 m/s in 10 s. Calculate its acceleration in m/s².
10 m/s²
Acceleration a = (v − u) ÷ t = (110 − 10) ÷ 10 = 10 m/s².
6. A car accelerates uniformly from 4 m/s to 112 m/s in 12 s. Calculate its acceleration in m/s².
9 m/s²
Acceleration a = (v − u) ÷ t = (112 − 4) ÷ 12 = 9 m/s².
7. A car accelerates uniformly from 14 m/s to 32 m/s in 9 s. Calculate its acceleration in m/s².
2 m/s²
Acceleration a = (v − u) ÷ t = (32 − 14) ÷ 9 = 2 m/s².
8. A car accelerates uniformly from 8 m/s to 72 m/s in 8 s. Calculate its acceleration in m/s².
8 m/s²
Acceleration a = (v − u) ÷ t = (72 − 8) ÷ 8 = 8 m/s².
9. A car accelerates uniformly from 16 m/s to 40 m/s in 12 s. Calculate its acceleration in m/s².
2 m/s²
Acceleration a = (v − u) ÷ t = (40 − 16) ÷ 12 = 2 m/s².
10. A car accelerates uniformly from 9 m/s to 69 m/s in 6 s. Calculate its acceleration in m/s².
10 m/s²
Acceleration a = (v − u) ÷ t = (69 − 9) ÷ 6 = 10 m/s².
11. A car accelerates uniformly from 1 m/s to 19 m/s in 3 s. Calculate its acceleration in m/s².
6 m/s²
Acceleration a = (v − u) ÷ t = (19 − 1) ÷ 3 = 6 m/s².
12. A car accelerates uniformly from 15 m/s to 33 m/s in 3 s. Calculate its acceleration in m/s².
6 m/s²
Acceleration a = (v − u) ÷ t = (33 − 15) ÷ 3 = 6 m/s².

12 questions · Seed 104732 · Age guidance, not curriculum certification