The army is developing satellite-based targeting systems. A system that can send a missile within y meters of its target costs 1/y2 million dollars.
a. How much would it cost to hit within 10 m?
b. How much would it cost to hit within 1 m?
c. How much would it cost to hit within 1 cm?
Scientifically, two quantities are close if it requires an accurate measuring device to detect the difference. In real life, accuracy costs money. How much would it cost to measure the differences in the above circumstances?