Question

As it passes over Grand Bahama Island, the eye of a hurricane is moving in a direction 25.0° north of east with a speed of 40.6 km/h. Three hours later, the course of the hurricane suddenly shifts due north, and its speed slows to 23.0 km/h. How far from Grand Bahama is the eye 7.40 h after the hurricane turned to the north?

Answer 1

call north y and east x

phase one:
vx1 = 40.6 cos 25
vy1 = 40.6 sin 25

x1 = 40.6 cos 25 * 3
y1 = 40.6 sin 25 * 3

Phase 2
vx2 = 0
vy2 = 23

x2 = x1 + 0 * 7.4
y2 = y1 + 23 * 7.4

d = sqrt (x2^2 + y2^2)