A space vehicle is coasting at a constant velocity of 20.7 m/s in the + y direct

Question

A space vehicle is coasting at a constant velocity of 20.7 m/s in the +y direction relative toa space station. The pilot of the vehicle fires a RCS (reactioncontrol system) thruster, which causes it to accelerate at0.370 m/s2 in the+x direction. After 43.0 s,the pilot shuts off the RCS thruster. After the RCS thruster isturned off, find the following quantities.
(a) the magnitude of the vehicle's velocity is ? 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

Explanation / Answer

   initial velocity in horizontal direction, Ux= 0 m/s    initial velocity in vertical direction, Uy =20.7 m/s    acceleration in +ve x-direction, a = 0.37m/s^2    Final velocity in x direction, Vx = Ux + a t= 0 + 0.37 * 43 = 15.91 m/s    Final velocity in y direction, Vy = Uy =20.7 m/s (a)    magnitude of vehicle's velocity, V = [(Vx)2 + ( Vy )2 ] 1/2 =26.11 m/s (b)    direction of velocity, = arc tan (Vx / Vy ) = arc tan ( 15.91 / 20.7 ) = 37.55o ( to the right ofy-direction )

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