On spring break in Puerto Vallarta you are feeling adventurous and decide to try ocean kayaking. You ate too much and now your mass is 85 kg, the mass of the kayak is 150 kg. 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?

Question

On spring break in Puerto Vallarta you are feeling adventurous and decide to try ocean kayaking.  You ate too much and now your mass is 85 kg, the mass of the kayak is 150 kg.  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?

oobleck · Accepted Answer

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! All that junk about the mass of you and the kayak is just noise.