A crop survey drone has a speed in still air of 30kmh-1. It is pointed in the direction of the bearing 65 degrees, 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.
(b) Express the resultant velocity v of the drone in component form, giving numerical values in kmh-1 to two decimal places.
(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.