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MMLU-Pro / 9140 / In the blizzard of ' 88 , a rancher was forced to drop hay bales from an…

Problem

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

question

In the blizzard of ' 88 , a rancher was forced to drop hay bales from an airplane to feed her cattle. The plane flew horizontally at $160 \mathrm{~km} / \mathrm{hr}$ and dropped the bales from a height of $80 \mathrm{~m}$ above the flat range. She wanted the bales of hay to land $30 \mathrm{~m}$ behind the cattle so as to not hit them. How far behind the cattle should she push the bales out of the airplane?
Plain-text mathematical notation (without MathML)
In the blizzard of ' 88 , a rancher was forced to drop hay bales from an airplane to feed her cattle. The plane flew horizontally at $160 \mathrm{~km} / \mathrm{hr}$ and dropped the bales from a height of $80 \mathrm{~m}$ above the flat range. She wanted the bales of hay to land $30 \mathrm{~m}$ behind the cattle so as to not hit them. How far behind the cattle should she push the bales out of the airplane?
Original LaTeX notation
In the blizzard of ' 88 , a rancher was forced to drop hay bales from an airplane to feed her cattle. The plane flew horizontally at $160 \mathrm{~km} / \mathrm{hr}$ and dropped the bales from a height of $80 \mathrm{~m}$ above the flat range. She wanted the bales of hay to land $30 \mathrm{~m}$ behind the cattle so as to not hit them. How far behind the cattle should she push the bales out of the airplane?

category

physics

options

  1. 120 m
  2. 150 m
  3. 300 $\mathrm{~m}$
  4. 210$\mathrm{~m}$
  5. 180 $\mathrm{~m}$
  6. 100 m
  7. 330 m
  8. 240 $\mathrm{~m}$
  9. 90 m
  10. 270 m

src

scibench-class

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Source and history

upstream_id / Original problem ID
9140
task_id
843371cb-90b1-59a6-83a6-e02f5768f702
task_key
default--test--9140
task_revision_id
1
config / split
default / test

Official source

initial import