A space vehicle is coasting at a constant velocity of 21.5 m/s in the + y direct

Question

A space vehicle is coasting at a constant velocity of 21.5 m/s in the +y direction relative to aspace station. The pilot of the vehicle fires a RCS (reactioncontrol system) thruster, which causes it to accelerate at0.380 m/s2 in the +xdirection. After 42.0 s, the pilot shutsoff the RCS thruster. After the RCS thruster is turned off, findthe following quantities. (a) the magnitude of the vehicle's velocity
1 m/s

(b) the direction of the vehicle's velocity relative to the spacestation Express the direction as an angle measured from the+y direction.
2° to the rightof the +y direction

I'm lost... be a lifesaver!
(a) the magnitude of the vehicle's velocity
1 m/s

(b) the direction of the vehicle's velocity relative to the spacestation Express the direction as an angle measured from the+y direction.
2° to the rightof the +y direction

I'm lost... be a lifesaver!

Explanation / Answer

V0 = 21.5 m/s j Vx = a*t =.380*42                      Velocity equals accelration times time velocity = (V0^2+Vx^2) Direction = 90-arctan(V0/Vx)           tan theta = y/x

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