Kinematics and One Dimensional Motion

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The discussion centers on whether deceleration can be assumed to be the same in different instances of one-dimensional motion. It explores the idea that the acceleration of a car during braking might be independent of its speed. A participant concludes that they have resolved their query, stating the answer is D/9. The conversation reflects a focus on the principles of kinematics and the implications of speed on deceleration. Overall, the thread emphasizes understanding the relationship between speed and braking in one-dimensional motion scenarios.
ayans2495
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Homework Statement
A car is travelling at 120 km/h, when the driver sees a herd of cows on the road ahead and slams on the brakes. The performance of the car’s brakes is such that the car comes to a stop in a distance D meters. Assuming that the acceleration of the car under braking is independent of the car’s speed, what distance would the car require to come to a stop if it were travelling at 40 km/h instead?
Relevant Equations
v=d/t, x=ut+1/2at^2
Would we assume that the deceleration of both instance are the same?
 
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ayans2495 said:
Would we assume that the deceleration of both instance are the same?
I think that's what the question is trying to say, by
Assuming that the acceleration of the car under braking is independent of the car’s speed,
 
hmmm27 said:
I think that's what the question is trying to say, by
Don't worry, I've figured it out. It's D/9. Thank you though.
 
ayans2495 said:
Don't worry, I've figured it out. It's D/9. Thank you though.
Not going to ; cheers.
 
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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