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MMLU-Pro / 9649 / A student drops a water-filled balloon from the roof of the tallest building in…

Problem

Answer published by the source. Consult the official source to check your work against its answer.

question

A student drops a water-filled balloon from the roof of the tallest building in town trying to hit her roommate on the ground (who is too quick). The first student ducks back but hears the water splash $4.021 \mathrm{~s}$ after dropping the balloon. If the speed of sound is $331 \mathrm{~m} / \mathrm{s}$, find the height of the building, neglecting air resistance.
Plain-text mathematical notation (without MathML)
A student drops a water-filled balloon from the roof of the tallest building in town trying to hit her roommate on the ground (who is too quick). The first student ducks back but hears the water splash $4.021 \mathrm{~s}$ after dropping the balloon. If the speed of sound is $331 \mathrm{~m} / \mathrm{s}$, find the height of the building, neglecting air resistance.
Original LaTeX notation
A student drops a water-filled balloon from the roof of the tallest building in town trying to hit her roommate on the ground (who is too quick). The first student ducks back but hears the water splash $4.021 \mathrm{~s}$ after dropping the balloon. If the speed of sound is $331 \mathrm{~m} / \mathrm{s}$, find the height of the building, neglecting air resistance.

category

physics

options

  1. 71$\mathrm{~m}$
  2. 65 $\mathrm{~m}$
  3. 55 m
  4. 80 $\mathrm{~m}$
  5. 78 m
  6. 85 m
  7. 75 m
  8. 90 m
  9. 50 m
  10. 60 $\mathrm{~m}$

src

scibench-class

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Source and history

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