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MMLU-Pro / 8532 / A mass of 0.25 mathrm{~kg} is dropped from rest in a medium offering a…

Problem

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

question

A mass of $0.25 \mathrm{~kg}$ is dropped from rest in a medium offering a resistance of 0.2|v|0.2|v|, where vv is measured in m/s\mathrm{m} / \mathrm{s}. If the mass is dropped from a height of $30 \mathrm{~m}$, find its velocity when it hits the ground.
Plain-text mathematical notation (without MathML)
A mass of $0.25 \mathrm{~kg}$ is dropped from rest in a medium offering a resistance of 0.2|v|, where v is measured in m/s.
If the mass is dropped from a height of $30 \mathrm{~m}$, find its velocity when it hits the ground.
Original LaTeX notation
A mass of $0.25 \mathrm{~kg}$ is dropped from rest in a medium offering a resistance of $0.2|v|$, where $v$ is measured in $\mathrm{m} / \mathrm{s}$.
If the mass is dropped from a height of $30 \mathrm{~m}$, find its velocity when it hits the ground.

category

math

options

  1. 15.35 m/s
  2. 16.10 m/s
  3. 8.50 m/s
  4. 13.45 m/s
  5. 7.92 m/s
  6. 9.63 m/s
  7. 10.00 m/s
  8. 11.58 m/s
  9. 12.75 m/s
  10. 14.20 m/s

src

scibench-diff

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Source and history

upstream_id / Original problem ID
8532
task_id
7aff28f0-c4cb-558c-9c64-f0b998fd181a
task_key
default--test--8532
task_revision_id
1
config / split
default / test

Official source

initial import