A space vehicle is coasting at a constant velocity of 22.1 m/s inthe + y directi

Question

A space vehicle is coasting at a constant velocity of 22.1 m/s inthe +y direction relative to a space station. The pilot ofthe vehicle fires a RCS (reaction control system) thruster, whichcauses it to accelerate at 0.367 m/s2 in the +xdirection. After 60.0 s, the pilot shuts off the RCS thruster.After the RCS thruster is turned off, find (a) themagnitude and (b) the direction of the vehicle'svelocity relative to the space station. Express the direction as anangle (in degrees) measured from the +y direction.

Explanation / Answer

given the components of the initial velocity are y component is = 22.1 m/s x component is = 0 m/s there is a acceleration along the x axis so thecomponents of the final velocity are y component is = 19.6 m/s x component is =( 0+ 0.367*60 ) m/s = 22.02 m/s so the magnitude is = ( 22.02)2 +(22.1)2 = 31.197 m/s direction with + y axis is = tan-1 (22.02/ 22.1 ) = 44.896 degrees towards the +x-axis

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