Car test, and vibrations problem

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Mohamed BOUCHAKOUR
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Homework Statement


in tests to choose the most comfortable shock absorbents, 3 cars are used, with the same mass "m", and the same springs, but different shock absorbents. the graphs show the changes in car height when passing over a bump (y=0 being the normal state of the car).
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-Witch car has the best shock absorbent?
(P.S: I'm not sure if I've got the correct translation for "shock absorbents", but i hope you'll get what i mean)

Homework Equations



The Attempt at a Solution


As far as i know, it's the changes in motion that cause discomfort not the movement itself, so, for the 3rd car, it returns almost immediately to it's original state, and for the 1st it vibrates violently, so both would be quite bad.
as for the 2nd, it's a compromise between the two, it ensures a smooth transition to the normal state.

i don't know if it's the correct answer, or I completely missed the point.
 

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on Phys.org
Changes in acceleration (jerk) are felt as unpleasant, constant acceleration is a smaller issue.
2 or 3 - hard to tell, I guess 2 is better. 3 will be very bad initially, while 2 has some bouncing later.
 
Case 1 corresponds to shocks which are worn out and if driven over a road with a periodic contour could result in a loss of control. I experienced this on the old bridge across Biloxi Bay which was later destroyed by Katrina. Case 2 represents shocks with a bit of wear. Case 3 is a case of critical damping or new shocks which give the best ride.
 
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