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MMLU-Pro / 8762 / A hawk flying at 15 mathrm{~m} / mathrm{s} at an altitude of …

Problem

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

question

A hawk flying at $15 \mathrm{~m} / \mathrm{s}$ at an altitude of $180 \mathrm{~m}$ accidentally drops its prey. The parabolic trajectory of the falling prey is described by the equation y=180−x245 y=180-\frac{x^2}{45} until it hits the ground, where yy is its height above the ground and xx is the horizontal distance traveled in meters. Calculate the distance traveled by the prey from the time it is dropped until the time it hits the ground. Express your answer correct to the nearest tenth of a meter.
Plain-text mathematical notation (without MathML)
A hawk flying at $15 \mathrm{~m} / \mathrm{s}$ at an altitude of $180 \mathrm{~m}$ accidentally drops its prey. The parabolic trajectory of the falling prey is described by the equation
y=180−(x²)/(45)
until it hits the ground, where y is its height above the ground and x is the horizontal distance traveled in meters. Calculate the distance traveled by the prey from the time it is dropped until the time it hits the ground. Express your answer correct to the nearest tenth of a meter.
Original LaTeX notation
A hawk flying at $15 \mathrm{~m} / \mathrm{s}$ at an altitude of $180 \mathrm{~m}$ accidentally drops its prey. The parabolic trajectory of the falling prey is described by the equation
$$
y=180-\frac{x^2}{45}
$$
until it hits the ground, where $y$ is its height above the ground and $x$ is the horizontal distance traveled in meters. Calculate the distance traveled by the prey from the time it is dropped until the time it hits the ground. Express your answer correct to the nearest tenth of a meter.

category

math

options

  1. 225.0 m
  2. 198.7 $\mathrm{m}$
  3. 235.3 $\mathrm{m}$
  4. 215.9 m
  5. 202.7 m
  6. 209.1 $\mathrm{m}$
  7. 245.6 m
  8. 190.4 m
  9. 220.5 $\mathrm{m}$
  10. 180.0 m

src

scibench-calculus

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Source and history

upstream_id / Original problem ID
8762
task_id
711c6df5-4895-54f8-8eb6-6d223b059c9d
task_key
default--test--8762
task_revision_id
1
config / split
default / test

Official source

initial import