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 a = 5.10 m/s², while the one on the back gives an acceleration component in the y direction of ay = 7.30 m/s². The engines turn off after firing for 675 s, at which point the spacecraft has velocity components of vx = 3725 m/s and vy = 4060 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 counterclockwise from the +x-axis

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Chapter1: Units, Trigonometry. And Vectors
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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 ay = 7.30 m/s². The engines turn off after firing for 675 s, at which point
the spacecraft has velocity components of vx = 3725 m/s and vy = 4060 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
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 ay = 7.30 m/s². The engines turn off after firing for 675 s, at which point the spacecraft has velocity components of vx = 3725 m/s and vy = 4060 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 counterclockwise from the +x-axis
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