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Given the position function of a particle, $s(t)=3t_{3} −2t_{2}+3t$ a. Find the velocity and acceleration functions: [2] b. Determine the time(s) when: i. $v(t)=0$ ii. $a(t)=0$ [2] c. Comblete the behaviour chart for the barticle function: [6] d. When is the object: (show your work below) i. speeding up? ii. slowing down?

The given distance function is :

From this we derive the velocity and acceleration equations.