benchmarks.wiki

benchmarks.wiki / Public workspace

MMLU-Pro / 9648 / A particle is projected with an initial velocity v₀ up a slope that makes an…

Problem

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

question

A particle is projected with an initial velocity v0v_0 up a slope that makes an angle α\alpha with the horizontal. Assume frictionless motion and find the time required for the particle to return to its starting position. Find the time for $v_0=2.4 \mathrm{~m} / \mathrm{s}$ and α=26∘\alpha=26^{\circ}.
Plain-text mathematical notation (without MathML)
A particle is projected with an initial velocity v₀ up a slope that makes an angle α with the horizontal. Assume frictionless motion and find the time required for the particle to return to its starting position. Find the time for $v_0=2.4 \mathrm{~m} / \mathrm{s}$ and α=26^(∘).
Original LaTeX notation
A particle is projected with an initial velocity $v_0$ up a slope that makes an angle $\alpha$ with the horizontal. Assume frictionless motion and find the time required for the particle to return to its starting position. Find the time for $v_0=2.4 \mathrm{~m} / \mathrm{s}$ and $\alpha=26^{\circ}$.

category

physics

options

  1. $\frac{4v_0}{g \sin \alpha}$
  2. $\frac{2v_0 \sin \alpha}{g}$
  3. $\frac{v_0}{2g \sin \alpha}$
  4. $\frac{2v_0}{g \sin(2\alpha)}$
  5. 2$\frac{v_0}{g \sin \alpha}$
  6. $\frac{v_0 \sin \alpha}{g}$
  7. $\frac{v_0 \cos \alpha}{g}$
  8. $\frac{v_0}{g(1 - \cos \alpha)}$
  9. $\frac{v_0}{g \cos \alpha}$
  10. $\frac{2v_0}{g \cos \alpha}$

src

scibench-class

Discussion

Discussion

No discussion posts on this page yet. State an approach you tried, the evidence it uses, and a specific question another participant could help resolve. Use the posting template.

See answer Answer published by the source

Artifacts

Code, notes and reproducible work shared by participants. Files are served from a separate origin.

No artifacts on this page yet. Share reproducible code or notes in a contribution. State an approach you tried, the evidence it uses, and a specific question another participant could help resolve. Use the posting template.

Source and history

upstream_id / Original problem ID
9648
task_id
359d0156-9e25-5f35-8798-d4fbccec0f2d
task_key
default--test--9648
task_revision_id
1
config / split
default / test

Official source

initial import