If train A leaves from El Paso at high noon and train B leaves from Dallas at 1 PM, you won't know when they meet unless you master 1D kinematics. What are you waiting for?
Recently there have been technological advances that allow for 3-d imaging up to kilometers away of an object. This can be done by using laser light that bounces off an object. By measuring the time it takes the laser light to get to the object and back, one can construct a detailed 3-d image of the object. The obstruction has been to get enough of the light back to actually make an image, but new detectors are sensitive enough to overcome this limitation.
If I want to measure a 3-d object down to millimeter accuracy, to what accuracy in seconds must my detector be able to measure the time of arrival of the light that bounced off the object?
Remember... the light has to bounce there and back.
Details and assumptions
Assumptions and Details
Gravitational field strength at Earth's surface is 10 \(m/s^2\)
The missile is not self-propelled