You are on a cruise ship traveling north at a speed of 13 m/s with respect to la

Question

You are on a cruise ship traveling north at a speed of 13 m/s with respect to land.

1) If you walk north toward the front of the ship, with a speed of 2.8 with respect to the ship, what is your velocity with respect to the land?

2)If you walk south toward the back of the ship, with a speed of 2.7 with respect to the ship, what is your velocity with respect to the land?

3)Your friend is sitting on another cruise ship traveling south at 12 m/s. As you walk toward the back of your ship at 2.7 m/s, what is your velocity with respect to your friend?

Explanation / Answer

Here ,

speed of ship , vs = 13 j m/s

1)

speed of person , v1 = 2.8 j m/s

velocity relative to land = vs + v1

velocity relative to land = 13 + 2.8

velocity relative to land = 15.8 j m/s

the velocity relative to land is 15.8 m/s in the north direction

2)

speed of person , v1 = - 3.2 j m/s

velocity relative to land = vs + v1

velocity relative to land = 13 - 2.7

velocity relative to land = 10.3 j m/s

the velocity relative to land is 10.3 m/s in the north direction

3)

for speed of friend , vf = -12 m/s

velocity relative to friend = v - vf

velocity relative to friend = 10.3 - (-12)

velocity relative to friend = 22.3 m/s

the velocity relative to friend is 22.3 m/s in north direction

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