A spacecraft on its way to Mars has small rocket engines mounted on its hull; one on its left surface and one on its back surface. At a certain time, both engines turn on. The one on the left gives the spacecraft an acceleration component in the x direction of ax = 5.10 m/s², while the one on the back gives an acceleration component in the y direction of a = 7.30 m/s². The engines turn off after firing for 670 s, at which point the spacecraft has velocity components of vx = 3515 m/s and vy = 4136 m/s. What was the magnitude and the direction of the spacecraft's initial velocity before the engines were turned on? Express the magnitude as m/s and the direction as an angle measured counterclockwise from the +x axis. m/s magnitude direction counterclockwise from the +x-axis

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter3: Motion In Two Dimensions
Section: Chapter Questions
Problem 31P: Figure P3.31 represents the total acceleration of a particle moving clockwise in a circle of radius...
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A spacecraft on its way to Mars has small rocket engines mounted on its hull; one on its left surface and one on its back surface. At a
certain time, both engines turn on. The one on the left gives the spacecraft an acceleration component in the x direction of
ax
= 5.10 m/s², while the one on the back gives an acceleration component in the y direction of a = 7.30 m/s2. The engines turn off
after firing for 670 s, at which point the spacecraft has velocity components of vx = 3515 m/s and vy = 4136 m/s. What was the
magnitude and the direction of the spacecraft's initial velocity before the engines were turned on? Express the magnitude as m/s and
the direction as an angle measured counterclockwise from the +x axis.
magnitude
direction
m/s
º counterclockwise from the +x-axis
Transcribed Image Text:A spacecraft on its way to Mars has small rocket engines mounted on its hull; one on its left surface and one on its back surface. At a certain time, both engines turn on. The one on the left gives the spacecraft an acceleration component in the x direction of ax = 5.10 m/s², while the one on the back gives an acceleration component in the y direction of a = 7.30 m/s2. The engines turn off after firing for 670 s, at which point the spacecraft has velocity components of vx = 3515 m/s and vy = 4136 m/s. What was the magnitude and the direction of the spacecraft's initial velocity before the engines were turned on? Express the magnitude as m/s and the direction as an angle measured counterclockwise from the +x axis. magnitude direction m/s º counterclockwise from the +x-axis
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