Kinematics Problem: Train braking and blocking an intersection

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A train 400 m long is initially moving at 21.6 m/s and slows to 5.0 m/s after the brakes are applied. The problem requires calculating how long the train blocked an intersection, assuming constant acceleration. An attempt at the solution yielded 37.04 seconds, which was marked incorrect. Participants are encouraged to share their calculations and the specific kinematics equations used to clarify the correct approach. Accurate application of kinematic formulas is essential for solving this problem correctly.
Zacharrry
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Homework Statement


A train 400 m long is moving on a straight track with a speed of 21.6m/s. The engineer applies the brakes at a crossing, and later the last car passes the crossing with a speed of 5.0m/s. Assuming constant acceleration, determine how long the train blocked the crossing. Disregard the width of the crossing.

Homework Equations


One of the "big four" kinematics equations (velocity, initial velocity, time, acceleration, etc.)

The Attempt at a Solution


I tried the problem and got 37.04 seconds, but it told me it was incorrect. I am not sure what I did wrong, so can anyone help by telling me what they got and/or how to solve it?
 
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You need to show what you did, which of the big four formulae you used, what numbers you put in, etc.
 
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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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