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Mathematics 18 Online
OpenStudy (anonymous):

a particle moves along the x-axis in such a way that its position at time t is given by x=3t^4-16t^3+24t^2 for -5≦t≦5 a. determine the velocity and acceleration of the particle at time t. (I know you find the 1st or 2nd derivative i just don't know what to do after that) b. at what values of t does the particle change direction? c. at what values of t does the particle change direction? d. what is the velocity when the acceleration is first zero?

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