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I need help setting up the equations for this problem.

A carousel initially at rest has an angular acceleration of .4 rad/s2 and accelerates for 5 seconds. It then rotates at a constant angular velocity for 30 seconds before slowing down at the same rate at which it accelerated. The angular velocity after 5 seconds is 2 rad/sec.

a) Throught how many revolutions did the carousel rotate before it starts to slow down?

b) How far (translationally) does a child sitting on a horse 3 meters from the center travel?

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# Help me

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