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 turn on. The one on the left gives the spacecraft an acceleration component in the x direction of ax=5.10m/s2, while the one on the back gives an acceleration component in the y direction of ay=7.30m/s2. The engines turn off after firing for 650s, at which point the spacecraft has velocity components of vx=3720m/s and vy=4458m/s. What was the magnitude and the direction of the spacecraft's initial velocity before the engines were turned on? Express the magnitude as m/s and the direction as an angle measured counterclockwise from the +x axis. magnitude Note the acceleration is constant. What are the components of the acceleration? What constant acceleration relation will you need to find the final velocity components? m/s direction Draw a diagram of the final velocity vector based on its components. What trigonometric relation will allow you to find the direction? counterclockwise from the +x-axis A vector A has a magnitude of 7 units and points in the - y-direction, while a vector B has one quarter the magnitude of A and points in the +x-direction. What are the magnitude and direction of the following vectors? Give the directions of each as an angle measured counterclockwise from the +x-direction (a) A+B magnitude direction ' (counterclockwise from the +x-axis) (b) AB magnitude unit(s) direction (counterclockwise from the +x-axis) (c) BA magnitude unit(s) direction (counterclockwise from the +x-axis)