A plane is flying on a course with a vector of where the 25

A plane is flying on a course with a vector of . where the 250 is the speed due north, and the 100 is the speed due east. The wind is blowing where the directions are also north and east, in the same order. How fast is the plane flying? All values are in mph 294.36 380.00 254.17 270.46

Solution

given course of moving plane v_p= <250,100>

direction of wind v_w=<25,5>

resultant velocity of plane =v_p+v_w

resultant velocity of plane =<250,100>+<25,5>

resultant velocity of plane=<250+25,100+5>

resultant velocity of plane =<275,105>

speed of plane =[275²+105²]

speed of plane =86650

speed of plane =294.36 mph