A space vehicle is coasting at a constant velocity of 21. 0 m/s in the +y direct

Question

A space vehicle is coasting at a constant velocity of 21. 0 m/s in the +y direction relative to a space station. a reaction control system thruster which causes it to accelerate at .320 m/s squared in the +x direction. after 45 seconds the pilot shuts off the RCS thruster after the RCS thruster is turned off, find a) the magnitude and b) the direction of the vehicles velocity relative to the space station express that direction as an angle measured on the +y direction A space vehicle is coasting at a constant velocity of 21. 0 m/s in the +y direction relative to a space station. a reaction control system thruster which causes it to accelerate at .320 m/s squared in the +x direction. after 45 seconds the pilot shuts off the RCS thruster after the RCS thruster is turned off, find a) the magnitude and b) the direction of the vehicles velocity relative to the space station express that direction as an angle measured on the +y direction

Explanation / Answer

a] velocity after 45s = 21 j + 0.320*45 i m/s

= 21 j + 14.4 i m/s

magnitude of velocity = sqrt(21^2+14.4^2)

= 25.46 m/s

b] direction = arctan(14.4/21) from +y axis

= 34.4 degree from +y axis

  

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