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

Agroup of students is studying convection currents. they fill two identical balloons with the same amount of helium. one balloon is placed in a freezer and the other in an area with warm air. after 10 minutes, the balloons are released from a height of 1 meter. which of the following do the students most likely observe? question 2 options: the balloons rise at the same rate. both balloons are the same size. the ballons both rise. the cold ballon is larger than the warm balloon. the cold balloon expands and rises. the warm balloon shrinks and sinks. the warm balloon expands and rises. the cold balloon shrinks and sinks.