Wаtch the very shоrt videо belоw. (Honorlock will continue recording your screen just fyi) Relаtive motion video As you sаw when 2 aircraft are moving in a straight line and on a collision course with each other their angle relative to each other is constant with time, making the other aircraft very hard to notice by the pilots. Something not mentioned in the video is that is idea is only true if the velocity vector is constant (so no acceleration of either plane) 2 planes are flying as shown below Airplane A has position vector m Airplane B has position vector m (a) What is the velocity vector of aircraft A and B (b) What is the acceleration vector of aircraft A and B (c) Show that at t=100s the aircraft will collide (d) Find the position vector of aircraft B relative to A (e) Using your result from part (d) write an expression for the relative bearing of aircraft B relative to A (Theta). Do not just find theta at the instant shown below. Hint) How far in the x direction is B relative to A? How far in the y direction is B relative to A? Can you use these to find theta (f) Simplify the expression from part (e), does it change with time? (As you saw in the video it should not) This idea that the relative angle will be constant if on a collision course is true for any bodies moving in straight lines with negligible or zero acceleration. So boats, cars, people walking or running, etc. (Assuming the objects are not changing their orientation too). So if you are ever driving a boat, and the angle another boat makes is not changing with time, you might be on a collision course.
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