Question

On spring break in Puerto Vallarta you are feeling adventurous and decide to try ocean kayaking. You start from the beach directly in front of your hotel going 20 m/s due west, with an ocean current going 10 m/s due south. After 30 min where will you be in relation to your hotel?

Answer 1

If the hotel is at (0,0), then in 30 min (1800s), you will be at
(-36000,0)+(0,18000) = (-36000,-18000)m
Those are some fast speeds!