1. On a spacecraft two engines fire for a time of 565 s. One gives the craft an acceleration in the x direction of ax = 5.10 m/s^2, while the other produces an acceleration in the y direction of ay = 7.30 m/s^2. At the end of the firing period, the craft has velocity components of vx = 3775 m/s and vy = 4816 m/s. Find the magnitude and direction of the initial velocity. Express the direction as an angle with respect to the +x axis.

force is based upon mass and acceleration.the statement is not always true.

it can be explained from newton's second law of motion.

as per newton's second law of motion the rate of change of momentum is directly proportional to the applied force and takes place along the direction of force.

mathematically it can be written as -

                                              ⇒      

here   k is the proportionality constant whose value is 1.

                                                            [a is the acceleration=dv/dt]

hence we see that force not only depends on mass and acceleration but also on velocity and rate of change of mass. force f will depend on mass and acceleration only when mass is constant.

hence the statement that force is based upon mass and acceleration is false.

there are no components of a physical goal mentioned on the list of choices that you've provided.