An aircraft has an air-speed of directed east of north
PHYSICS · Multi-part · A Level · Physics · Mechanics and materials · Mechanics and materials
Problem
An aircraft has an air-speed of 180km h−1 directed 45∘ east of north. A steady wind of 40km h−1 blows towards the east.
(i) Resolve the aircraft’s air-speed and the wind velocity into rectangular components, taking the x–axis towards the east and the y–axis towards the north.
(ii) Hence obtain the ground velocity (resultant velocity) of the aircraft in component form, and calculate its magnitude and true heading (angle measured east of north).
(iii) The pilot wishes to reach a point that is 600km due north of the present position. Estimate the time taken to reach this point with the wind blowing as stated.