An aircraft takes off from a horizontal runway with constant

Last updated: 6/12/2023

An aircraft takes off from a horizontal runway with constant speed v climbing at a constant angle a to the horizontal A car is moving on the runway with constant speed u directly towards the front of the aircraft The car is distance a from the aircraft at the instant of take off Find the distance of closest approach of the car and aircraft O O av sin a v2 u 2uv cos a av sin a v u 2uv cos a av cos a v2 u 2uv cos a 1 2 1 2 1 2