The spacecraft and the asteroid do not intersect at that initial position, but the asteroid is in motion (ominous music playing in background). its location is being translated from the initial location by growing a step α > 0 in direction (∆x, ∆y, ∆z).formulate an lp in terms of decision variables x, y, z, and α to find the smallest step (if any) that will produce a collision between the object and the link, and indicate how the lp would detect the case where no collision will occur

By dividing you can find the answer

Answer///air resistance,drag;

Answertraveling around a circular trackexplanation"traveling around a circular track" is the best answer as you could be traveling around a circular track at a constant speed. your velocity would therefore have the same magnitude but will always be constantly direction. since acceleration is the rate of change of velocity, the rate of change will only involve the direction of velocity and not the magnitude.wrong choices: "an object at rest" does not accelerate at all"increasing speed while traveling around a curve" means that the acceleration will not be constant due to only change in direction; it will be constant due to both magnitude and direction"an object in free fall" does not necessarily change direction