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Physics · Grades 10–12

Time to maximum height

At the highest point velocity is zero, but gravitational acceleration is not.

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Rule and assumptions

At the highest point velocity is zero, but gravitational acceleration is not.

t = u/g

Worked examples

In a model without air resistance, an object is launched vertically upward at 32 m/s where g = 8 m/s². Find its time to maximum height. Round to 3 decimal places if needed. Answer in s.

t = u/g 32 / 8 = 4

4 s

In a model without air resistance, an object is launched vertically upward at 15 m/s where g = 5 m/s². Find its time to maximum height. Round to 3 decimal places if needed. Answer in s.

t = u/g 15 / 5 = 3

3 s

Try two questions

  1. In a model without air resistance, an object is launched vertically upward at 19 m/s where g = 8 m/s². Find its time to maximum height. Round to 3 decimal places if needed. Answer in s.

  2. In a model without air resistance, an object is launched vertically upward at 27 m/s where g = 10 m/s². Find its time to maximum height. Round to 3 decimal places if needed. Answer in s.

Answers and reasoning

Answers and marking notes
  1. 2.375 s

    t = u/g 19 / 8 = 2.375

  2. 2.7 s

    t = u/g 27 / 10 = 2.7

Further reading and review references

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