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Physics · Grades 9–12

Free fall from rest

Treat g as constant, ignore air resistance, and start from rest.

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Rule and assumptions

Treat g as constant, ignore air resistance, and start from rest.

d = ½gt²

Worked examples

An object falls from rest for 1 s in an ideal model with g = 2 m/s² and no air resistance. Find the downward distance. Round to 3 decimal places if needed. Answer in m.

d = ½gt² 0.5 × 2 × 1² = 1

1 m

An object falls from rest for 12 s in an ideal model with g = 5 m/s² and no air resistance. Find the downward distance. Round to 3 decimal places if needed. Answer in m.

d = ½gt² 0.5 × 5 × 12² = 360

360 m

Try two questions

  1. An object falls from rest for 7 s in an ideal model with g = 8 m/s² and no air resistance. Find the downward distance. Round to 3 decimal places if needed. Answer in m.

  2. An object falls from rest for 2 s in an ideal model with g = 2 m/s² and no air resistance. Find the downward distance. Round to 3 decimal places if needed. Answer in m.

Answers and reasoning

Answers and marking notes
  1. 196 m

    d = ½gt² 0.5 × 8 × 7² = 196

  2. 4 m

    d = ½gt² 0.5 × 2 × 2² = 4

Further reading and review references

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