space vehicle is coasting at a constant velocity of 23.7 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 0.212 m/s2 in the +x direction. After 37.9 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.

A spacecraft on its way to Mars has small rocket engines mounted on its hull; one on its left surface and one on its back surface. At a certain time, both engines 5.10 m/s, while the one on the back gives an acceleration turn on. The one on the left gives the spacecraft an acceleration component in the x direction of a, component in the y direction of a, = 7.30 m/s. The engines turn off after firing for 135 s, at which point the spacecraft has velocity components of y = 3810 m/s and v = 4168 m/s. What was the magnitude and the direction of the spacecraft's initial velocity before the engines were turned on? Express the 'y V magnitude as m/s and the direction as an angle measured counterclockwise from the +x axis. magnitude m/s direction ° counterclockwise from the +x-axis

On a spacecraft two engines fire for a time of 389 s. One gives the craft an acceleration in the x direction of ax = 3.41 m/s^2, while the other produces an acceleration in the y direction of ay = 7.34 m/s^2. At the end of the firing period, the craft has velocity components of vx = 1860 m/s and vy = 4290 m/s. Find the (a) magnitude and (b) direction of the initial velocity. Express the direction as an angle with respect to the +x axis.

A space vehicle is coasting at a constant velocity of 20.5 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 0.351 m/s2 in the +x direction. After 33.2 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.