A space vehicle is coasting at a constant velocity of 20.5 m/s in the +y directi

Question

A space vehicle is coasting at a constant velocity of 20.5 m/s in the +y direction relative to a space station. The pilot of the vehicle fires a RCS (reaction control system) thruster, which causes it to accelerate at 0.370 m/s2 in the +x direction. After 40.0 s, the pilot shuts off the RCS thruster. After the RCS thruster is turned off, find the following quantities.
(a) the magnitude of the vehicle's velocity
________ m/s.

(b) the direction of the vehicle's velocity relative to the space station Express the direction as an angle measured from the +y direction.
__________ ° to the right of the +y direction .

Explanation / Answer

A space vehicle is coasting at a constant velocity of 20.5 m/s in the +y direction relative to a space station. The pilot of the vehicle fires a RCS (reaction control system) thruster, which causes it to accelerate at 0.370 m/s2 in the +x direction. After 40.0 s, the pilot shuts off the RCS thruster. After the RCS thruster is turned off, find the following quantities. Speed in x-direction: 40*0.37=14.8 m/s Total speed: v(14.8^2+20.5^2)=25.28 m/s Direction: atan(20.5/14.8)=0.95 rad

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