DYNAMICS QUESTION S.O.S (kinematics of particle)

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3 Days... and i still can't figure out 'how','why' and 'wat' is the answer...


THE ACCELERATION OF A PARTICLE IS DEFINED BY THE RELATION a=-8m/s^2.
KNOWING THAT x=20m when t=4s and that x=4m when v=16m/s,
determine:

a) the time when the velocity is ZERO.
b) the velocity and the total distance traveled when t = 11s...

THANK YOU...
 
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welcome to pf!

hi chrishatch! welcome to pf! :smile:

(try using the X2 icon just above the Reply box :wink:)

always start questions like this by saying "let x and v be x0 and v0 at t = 0" …

then use the standard constant acceleration equations with the given data …

what do you get? :smile:
 
To solve this, I first used the units to work out that a= m* a/m, i.e. t=z/λ. This would allow you to determine the time duration within an interval section by section and then add this to the previous ones to obtain the age of the respective layer. However, this would require a constant thickness per year for each interval. However, since this is most likely not the case, my next consideration was that the age must be the integral of a 1/λ(z) function, which I cannot model.
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