- #1
magic_castle32
- 12
- 0
Here's a problem which I encountered a while ago:
"There is an alien on the surface of a spherical planet. The alien can run at a top speed of u. An alien hunter is hunting the alien in his spaceship which can fly at a top speed of v. Once the hunter sees the alien, he fires, and the alien dies. Show that the alien will always die if v>10u."
The caveat is that the hunter does not know the position of the alien, and when the alien appears in the field of vision of the spacecaft it's gameover.
Any suggestions? The height of the spacecraft above the planet is likely to play a part; perhaps the solution is along the lines of confining the area of movement of the alien to a decreasing part of the sphere.
(not a homework question)
"There is an alien on the surface of a spherical planet. The alien can run at a top speed of u. An alien hunter is hunting the alien in his spaceship which can fly at a top speed of v. Once the hunter sees the alien, he fires, and the alien dies. Show that the alien will always die if v>10u."
The caveat is that the hunter does not know the position of the alien, and when the alien appears in the field of vision of the spacecaft it's gameover.
Any suggestions? The height of the spacecraft above the planet is likely to play a part; perhaps the solution is along the lines of confining the area of movement of the alien to a decreasing part of the sphere.
(not a homework question)