General Question about curved motion

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Homework Statement


When if ever is the speed of the object increasing?

Homework Equations


Dot product result, cos(theta) acceleration perpendicular, acceleration parralel

The Attempt at a Solution



I solved the problems first three parts and found when the objects speed is constant using the dot product, now i am trying to figure out how to find if it is increasing. Is it when a(parrelel)*cos(theta) = 0? i have my result from the dot product as 2t^3+6t^2-8t. i set it equal to 0 to find when speed is constant and got t=-4,t=1,t=0. Now i need to find speed increasing and am not sure exactly
 
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I FIGURED IT OUT!!