Acceleration problem. me vs book

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A bus traveling at 30.0 km/h accelerates at 3.5 m/s² for 6.8 seconds. The book states the final velocity is 120 km/h, while the user calculates it as 115 km/h. The user converts the initial speed to meters per second and applies the formula Vf = Vi + a x delta t, arriving at 115.668 km/h. The discrepancy is attributed to significant figures, with the book rounding to 120 km/h. The user acknowledges the oversight regarding significant figures in their calculations.
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Homework Statement


A bus is traveling at 30.0 km/h speeds up at a constant rate of 3.5 ms/^2. What velocity does it reach at 6.8 seconds later?

book says 120.km/hour
I get 115 km/hour

Homework Equations


Vf=Vi+a x delta t


The Attempt at a Solution


First I changed 30.0 km/hour to 30000 m/3600s then reduced to 8.3 m/s. Used formula to get Vf=32.13m/s

I divide 32.13 by 1000 to get .03213 km/s then 1.9278 km/m then 115.668 km/h.

I've worked this problem a hundred different ways and get the same answer. AM i right or the book?
 
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Looks like you and the book are correct. I would assume that the book is answering the question to 2 significant figures, thus 115.668km/h is 120km/h assuming your math is correct.
 
oh my goodness i forgot all about sig figs. Thank you very much
 
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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