# Test Yourself #22

Where’s the Archilochus colubris?

A 510Kb PDF of problem #22 as it appeared in the magazine—complete with images—is available by clicking HERE

A 15Kb PDF of the answer to Problem #22 is available by clicking HERE

On an X, Y, Z orthogonal coordinate system, suppose an Archilochus colubris leaves coordinates 20, 5, 0 (X:Y:Z) moving in the plus Z direction at a speed of 4.628 feet per minute for 2.111 minutes. Then the Archilochus colubris changes course, moving in the plus X direction at a speed of 3.919 feet per minute for 3.767 minutes. Then the Archilochus colubris changes course, moving in the minus Y direction at a speed of 3.077 feet per minute for 1.985 minutes. When the Archilochus colubris stops, what is the distance back to (0, 0, 0)? Consider the coordinate values given and rate of speed and travel times as exact and consider the change of speeds and directions as instantaneous.

A 510Kb PDF of problem #22 as it appeared in the magazine—complete with image—is available by clicking HERE

A 15Kb PDF of the answer to Problem #22 is available by clicking HERE