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~christina~
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Homework Statement
Automotive engineers refer to the time rate change of acceleration as the Jerk.
Assuem an object moves in 1 dimention such that it's Jerk is constant.
a) determine expressions for it's
1. acceleration ax(t)
2. velocity vx(t)
3. position x(t)
given initial acceleration, velocity, and positio are axi, vxi, xi respectively
b) show that ax^2= axi^2 + 2J(vx-vxi)
Homework Equations
not sure because time rate of acceleration = Jerk...but what is the time unit..is it just sec?
I know that the time rate change for velocity is acceleration though..
a= v/t
Not sure about the position
The Attempt at a Solution
including the equation attempt above..the whole problem is to determine the equation..I'm just not sure how to put it together
I know that the problem is under deriving equations from calculus though just I know that if you get the derivative of the position then you get velocity eqzn and if you derive that you get the acceleration.
And if you get the integral of the acceleration then you get the velocity equation and if you get the integral of that you get the position function once again..
other than that I just don't know how to relate equation deriving to a "Jerk"
I have problems with deriving eqzns..
for b.) I'd don't know what they want me to do with it...exactly...
Thanks