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## Homework Statement

A carousel takes 1.5 min to complete one revolution while rotating at a constant rate. A person rides on the carousel platform at a distance 3.2m from the center.(a) From its state of constant rotation, the carousel then uniformly slows to a stop in time (delta t). Produce a diagram qualitatively indicating the rider's position, velocity, and acceleration at an instant during which the carousel slows.

(b) Produce expressions for the time dependence of the rider's speed and acceleration during the time while the carousel slows.

## Homework Equations

a=(4(pi^2)r)/(t^2)

v=(2pi*r)/t

## The Attempt at a Solution

(a) When the carousel slows down the magnitude of the acceleration and the magnitude of the velocity are going to decrease. When it finally stops rotating, the acceleration and velocity will go to zero. Intuition tells me these statements are true, but I don't know how to represent these ideas qualitatively.

(b)I have attached a image of my approach for this part.

#### Attachments

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