Answered: A space vehicle is coasting at a…

Name: A space vehicle is coasting at a constant velocity of 19.3 m/s in the
Uploaded: 2024-03-20T06:57:47.000Z
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Description: A space vehicle is coasting at a constant velocity of 19.3 m/s in the +y direction relative to a space station. The pilot of the vehicle fires aRCS (reaction control system) thruster, which causes it to accelerate at 0.337 m/2 in the + direction. Aft

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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A space vehicle is coasting at a constant velocity of 19.3 m/s in the +y direction relative to a space station. The pilot of the vehicle fires aRCS (reaction control system) thruster, which causes it to accelerate at 0.337 m/2 in the + direction. After 59.8 s, the pilot shuts off the RCS thruster. After the RCS thruster is turned off, find (a) the magnitude and (b) the direction of the vehicle's velocity relative to the space station. Express the direction as an angle (in degrees) measured from the +y direction.

Expert Solution

Step 1: Part (a)

the velocity of vehicle along the positive axis after 59.8 s is

$v subscript x equals v subscript 0 x end subscript plus a t equals 0 plus open parentheses 0.337 text m/s end text squared close parentheses open parentheses 59.8 close parentheses equals 20.15 text m/s end text$

then the magnitude of vehicle velocity is

$straight v equals square root of straight v subscript straight x superscript 2 plus straight v subscript straight y superscript 2 end root equals square root of open parentheses text 20.15m/s end text close parentheses squared plus open parentheses text 19.3m/s end text close parentheses squared end root equals 27.91 text m/s end text$

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