Roller coaster displacement physics problem

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To find the displacement of the roller coaster, first break down the movements into horizontal and vertical components. The horizontal movement is 85m, while the vertical component of the 45m segment at a 30-degree angle can be calculated using trigonometric functions. After determining both components, apply the Pythagorean theorem to find the total displacement from the starting point. This method effectively combines the two segments of motion to arrive at the final displacement. The calculated displacement provides a clear understanding of the roller coaster's overall movement.
kiss the shrew
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here's the question
a roller coaster moves 85m horizontally, then travels 45m at an angle of 30.0 degrees above the horizontal. What is its displacement from its starting point?

can anybody help me do this?
 
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kiss the shrew said:
here's the question
a roller coaster moves 85m horizontally, then travels 45m at an angle of 30.0 degrees above the horizontal. What is its displacement from its starting point?

can anybody help me do this?
To add displacement vectors, add their horizontal and vertical components and then use the Pythagorean theorem to determine the length.

AM
 
The book claims the answer is that all the magnitudes are the same because "the gravitational force on the penguin is the same". I'm having trouble understanding this. I thought the buoyant force was equal to the weight of the fluid displaced. Weight depends on mass which depends on density. Therefore, due to the differing densities the buoyant force will be different in each case? Is this incorrect?

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