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MMLU-Pro / 10340 / A parachutist with mass m=80 kg is undergoing free fall. The drag force applied…

Problem

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

question

A parachutist with mass m=80 kg is undergoing free fall. The drag force applied on him is FD=kv2F_D = kv^2, where v is the velocity measured relative to the air. The constant k=0.27 [Ns^2/m^2] is given. Find the distance traveled h in meters, until v=0.95vtv_t is achieved, where vtv_t is the terminal velocity. Return the numeric value.
Plain-text mathematical notation (without MathML)
A parachutist with mass m=80 kg is undergoing free fall. The drag force applied on him is F_(D)=kv², where v is the velocity measured relative to the air. The constant k=0.27 [Ns^2/m^2] is given. Find the distance traveled h in meters, until v=0.95v_(t) is achieved, where v_(t) is the terminal velocity. Return the numeric value.
Original LaTeX notation
A parachutist with mass m=80 kg is undergoing free fall. The drag force applied on him is $F_D = kv^2$, where v is the velocity measured relative to the air. The constant k=0.27 [Ns^2/m^2] is given. Find the distance traveled h in meters, until v=0.95$v_t$ is achieved, where $v_t$ is the terminal velocity. Return the numeric value.

category

physics

options

  1. 375.0
  2. 290.0
  3. 400.0
  4. 345.0
  5. 270.0
  6. 460.0
  7. 315.0
  8. 500.0
  9. 385.0
  10. 425.0

src

theoremQA-Physics

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Source and history

upstream_id / Original problem ID
10340
task_id
cbfda741-60ea-5714-aaef-2a03cb6d0781
task_key
default--test--10340
task_revision_id
1
config / split
default / test

Official source

initial import