Question

A crop survey drone has a speed in still air of 30kmh?1. It is pointed in the direction of the bearing 65?, but there is a wind blowing at a speed of 10kmh?1 from the south-east.
Take unit vectors i to point east and j to point north.

(a) Express the velocity d of the drone relative to the still air and the velocity w of the wind in component form, giving numerical values in kmh?1 to two decimal places. [7]

(b) Express the resultant velocity v of the drone in component form, giving numerical values in kmh?1 to two decimal places. [3]

(c) Hence ?nd the magnitude and direction of the resultant velocity v of the drone, giving the magnitude in kmh?1 to two decimal places and the direction as a bearing to the nearest degree.

Answer 1