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MMLU-Pro / 11782 / A particle moves according to the equations x= sin 2t y=cos2t(1) z= e^-t wheret…

Problem

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

question

A particle moves according to the equations x= sin 2t y=cos2t(1) z= e^-t wheret is the time. 1) Determine the velocity of the particle. 2) Determine the acceleration of the particle. 3) Find the magnitudes of the velocity and acceleration att = 0.

category

engineering

options

  1. Velocity is (0, 2, -1), acceleration is (-4, -4, 0), velocity magnitude is √5, acceleration magnitude is √32
  2. Velocity is (2, 0, -1), acceleration is (0, -4, 1), velocity magnitude is √5, acceleration magnitude is √17
  3. Velocity is (1, 1, -1), acceleration is (0, -2, 1), velocity magnitude is √3, acceleration magnitude is √6
  4. Velocity is (2, 2, -2), acceleration is (0, -4, 2), velocity magnitude is √12, acceleration magnitude is √20
  5. Velocity is (2, 0, -1), acceleration is (0, -4, 1), velocity magnitude is √4, acceleration magnitude is √16
  6. Velocity is (1, 0, -2), acceleration is (0, -3, 1), velocity magnitude is √5, acceleration magnitude is √17
  7. Velocity is (2, -2, -1), acceleration is (4, 0, 1), velocity magnitude is √9, acceleration magnitude is √18
  8. Velocity is (1, 2, -1), acceleration is (0, -3, 2), velocity magnitude is √4, acceleration magnitude is √16
  9. Velocity is (2, -1, -2), acceleration is (4, 4, 1), velocity magnitude is √9, acceleration magnitude is √33
  10. Velocity is (1, -2, 0), acceleration is (2, 3, -1), velocity magnitude is √6, acceleration magnitude is √14

src

stemez-Electromagnetics

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Source and history

upstream_id / Original problem ID
11782
task_id
ac4c7dcb-0b62-59c7-9262-9f85dbdc8099
task_key
default--test--11782
task_revision_id
1
config / split
default / test

Official source

initial import