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 a, = 7.30 m/s². The engines turn off after firing for 640 s, at which point the spacecraft has velocity components of v, = 3550 m/s and v, = 4498 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 m/s direction ° counterclockwise from the +x-axis

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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 a, = 5.10 m/s?, while the one on the back gives an acceleration component in the y direction of a, = 7.30 m/s?.
The engines turn off after firing for 640 s, at which point the spacecraft has velocity components of v, = 3550 m/s and v, = 4498 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
m/s
direction
° 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 a, = 5.10 m/s?, while the one on the back gives an acceleration component in the y direction of a, = 7.30 m/s?. The engines turn off after firing for 640 s, at which point the spacecraft has velocity components of v, = 3550 m/s and v, = 4498 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 m/s direction ° counterclockwise from the +x-axis
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