Question

In air traffic, certain airspaces are allocated to specific aircraft for safety reasons. Two aircraft F1 and F2 move over a flat landscape (x-y-plane). At time = 0, the aircraft are at point P(1;2;1) and Q(4;2;1) respectively. After one minute they are located at inP′(4;3;3) or Q′(5;5;3) (time in minutes, coordinates in km)

i) Investigate the possibility of a collision between the planes.

ii) What is the distance between the two planes after 4 minutes?

iii) When does the aircraft F2 reach the height of 10.1km?

Answer 1