Solving for Acceleration in an Emergency Braking Exercise: Kinematics Problem

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In an emergency braking scenario, a student driver stops a car traveling at 83 km/h in 4.0 seconds. The initial attempt to calculate acceleration used the formula a = (v2 - v1)/t, leading to an incorrect unit conversion. The correct acceleration calculation requires converting the speed from km/h to m/s before applying the formula. The discussion emphasizes the importance of checking units in physics problems to avoid mistakes. Proper unit conversion is crucial for accurate results in kinematics.
tahayassen
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Homework Statement



In an emergency braking exercise, a student driver stops a car traveling at 83 km/h [W] in a time of 4.0 s. What is the car's acceleration during this time?

Homework Equations





The Attempt at a Solution



a = (v2-v1)/t
= 83/4
= 21 m/(s^2) [E]
 
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hi tahayassen! :smile:

erm :redface:

km/h :wink:
 
Oh... What a dumb mistake. I'm looking at old tests that I've written, and I'm trying to see my mistakes for the upcoming exam!
 
yeah, exam questions can be sneaky

always check the units! :smile:
 
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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