You are on a cruise ship traveling north at a speed of 8 m/s with respect to land.
Your friend is sitting on another cruise ship traveling south at 15 m/s. As you walk toward the back of your ship at 2.9 m/s, what is your velocity with respect to your friend?
You are moving north at 8 - 2.9 = 5.1 North
Friend is moving south at 15 South
you are moving at 20.1 North relative to friend
Well, if we calculate the velocities, you are moving south relative to the land at a speed of (8 m/s) + (-2.9 m/s) = 5.1 m/s.
Similarly, your friend is moving north relative to the land at a speed of (15 m/s) + (0 m/s) = 15 m/s.
To determine your velocity with respect to your friend, we need to take into account the relative speed between you two. So, putting that into the equation, your velocity with respect to your friend is 5.1 m/s - 15 m/s = -9.9 m/s.
So, it seems like you're going the wrong way, my friend. Time to turn around and catch up with your friend on the other cruise ship!
To determine your velocity with respect to your friend, we need to consider the relative velocities of both ships.
Your ship is traveling north at a speed of 8 m/s, while your friend's ship is traveling south at a speed of 15 m/s.
Since you are walking towards the back of your ship, your velocity with respect to your ship is opposite to the direction of the ship's movement. Thus, your velocity with respect to your ship would be -2.9 m/s (negative because you are moving in the opposite direction).
To find your velocity with respect to your friend, we can add up the velocities:
Velocity with respect to your friend = Velocity of your ship + Velocity of your walk
= (-8 m/s) + (-2.9 m/s)
= -10.9 m/s
Therefore, your velocity with respect to your friend is -10.9 m/s (moving in the opposite direction of your friend's ship).
To determine your velocity with respect to your friend, we need to take into account that velocities are relative and add up according to their directions.
Your velocity with respect to land is given as 8 m/s northward. Your friend's velocity with respect to land is given as 15 m/s southward.
Now, as you walk towards the back of your ship at a speed of 2.9 m/s, this motion must be considered as a subtraction of velocity since you are moving in the opposite direction.
To find your velocity with respect to your friend, we need to subtract the magnitude of your walking velocity from your velocity with respect to land.
- Your velocity with respect to land = 8 m/s northward
- Your walking velocity = 2.9 m/s northward (opposite direction)
To find the resultant velocity, we subtract the walking velocity from your velocity with respect to land:
Resultant velocity = 8 m/s - 2.9 m/s = 5.1 m/s northward
Therefore, your velocity with respect to your friend is 5.1 m/s northward.