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Physics · Grades 9–12

Velocity with constant acceleration

This equation requires constant acceleration over the interval.

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Rule and assumptions

This equation requires constant acceleration over the interval.

v = u + at

Worked examples

In one dimension, u = -5 m/s and constant a = 6 m/s². Find the signed velocity after 12 s. Round to 3 decimal places if needed. Answer in m/s.

v = u + at -5 + (6) × 12 = 67

67 m/s

In one dimension, u = -1 m/s and constant a = 6 m/s². Find the signed velocity after 15 s. Round to 3 decimal places if needed. Answer in m/s.

v = u + at -1 + (6) × 15 = 89

89 m/s

Try two questions

  1. In one dimension, u = 12 m/s and constant a = 5 m/s². Find the signed velocity after 10 s. Round to 3 decimal places if needed. Answer in m/s.

  2. In one dimension, u = 15 m/s and constant a = 5 m/s². Find the signed velocity after 12 s. Round to 3 decimal places if needed. Answer in m/s.

Answers and reasoning

Answers and marking notes
  1. 62 m/s

    v = u + at 12 + (5) × 10 = 62

  2. 75 m/s

    v = u + at 15 + (5) × 12 = 75

Further reading and review references

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Learning preview · independent educational and translation review required. Suggested grades are not official curriculum alignment.