a space vehicle is coasting at a constant velocity of 16.0 m/s in the +y directi

Question

a space vehicle is coasting at a constant velocity of 16.0 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 0.301 m/s^2 in the +x direction. After 57.2 s, the pilot shuts off the RCS thruster. After the RCS thruster is turned off, find (a) the magnitude and (b) the direction of the vehicle's velocity relative to the space station. Express the direction as an angle (in degrees) measured from the +y direction.

Explanation / Answer

X component of velocity = a*t = 17.2172 m/s Y component of velocity is same as initial value = 16.0 m/s Magnitude of vehicle's velocity = sqrt(17.2172^2 + 16^2) = 23.504 m/s Direction of the vehicle's velocity relative to the space station = taninverse(16/17.2172) = 42.9 degrees

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