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How to find the maximum velocity and maximum acceleration? 
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#1
Apr807, 10:11 PM

P: 17

1. The problem statement, all variables and given/known data
The position of a particle moving along an x axis is given by x=12t^22t^3, what is the maximum positive coordinate, velocity and acceleration reached by the particle? 2. Relevant equations 3. The attempt at a solution I took derivative of the quadratic and got V=24t6t^2 and set it =0, then i solve for t and substituted in x=12t^22t^3 to get the max. positive coordinate. But I dont know what to do to solve for the max velocity and acceleration 


#2
Apr807, 10:17 PM

P: 1,874

You have the velocity as a function of time, just like you had the position as a function of time.



#3
Apr807, 10:58 PM

P: 17

more hints?



#4
Apr807, 11:09 PM

P: 1,874

How to find the maximum velocity and maximum acceleration?
Why not repeat the same process for your function of velocity?



#5
Apr907, 10:38 AM

P: 17

Oh, so i set a=0 to find max velocity, but then what do I do to find the max acceleration?



#6
Apr907, 11:14 AM

P: 1,874

Find the derivative of acceleration as a function of time and set it to zero. The physical term for the fourth derivative time is called jerk.



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