Question

as it passes over grand bahama island, the eye of a hurricane is moving in a direction 30◦ north of west with a speed of 55 km/h. three hours later, it shifts due north, and its speed slows to 81 km/h. how far from grand bahama is the eye 4.50 h after it passes over the island? answer in units of km.

Answer 1

249 km

Step-by-step explanation:

and its speed slows to 81 km/h. ??? <===== Isn't slower...

for three hours it travels 55 km/h for 1.5 hours it travels at 81 km/hr

Distance North 3 * 55 sin 30 + 81 * 1.5 km = 204 km

Distance West 3 * 55 cos 30 = 142.9 km

Use pythag theorem to find displacement

d^2 = 204^2 + 142.9 ^2 shows d = 249 km