A satellite in outer space is moving at a constant velocity of 20.5 m/s in the +
ID: 1406298 • Letter: A
Question
A satellite in outer space is moving at a constant velocity of 20.5 m/s in the +y direction when one of its onboard thruster turns on, causing an acceleration of 0.340 m/s2 in the +x direction. The acceleration lasts for 44.0 s, at which point the thruster turns off. (a) What is the magnitude of the satellite's velocity when the thruster turns off?m/s
(b) What is the direction of the satellite's velocity when the thruster turns off? Give your answer as an angle measured counterclockwise from the +x-axis.
° counterclockwise from the +x-axis A satellite in outer space is moving at a constant velocity of 20.5 m/s in the +y direction when one of its onboard thruster turns on, causing an acceleration of 0.340 m/s2 in the +x direction. The acceleration lasts for 44.0 s, at which point the thruster turns off. (a) What is the magnitude of the satellite's velocity when the thruster turns off?
m/s
(b) What is the direction of the satellite's velocity when the thruster turns off? Give your answer as an angle measured counterclockwise from the +x-axis.
° counterclockwise from the +x-axis (a) What is the magnitude of the satellite's velocity when the thruster turns off?
m/s
(b) What is the direction of the satellite's velocity when the thruster turns off? Give your answer as an angle measured counterclockwise from the +x-axis.
° counterclockwise from the +x-axis
Explanation / Answer
a)
Final V in x direction = (at) = 0.340 x 44, = 14.96 m/sec.
Its final V is sqrt(14.96^2 + 20.5^2) = 25.3782 m/sec.,
b)
direction = arctan (20.5/14.96) = 53.88 degrees clockwise from the +x direction, or (90 - 53.88) = 36.12 degrees clockwise from the +y direction.
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