# Starting from rest, a particle is constrained to move in a circle of radius #4 m#. The tangential acceleration is #a_t = 9 m/s^2#. How long will it take to rotate #45º#?

##### 1 Answer

Mar 1, 2017

#### Answer:

#### Explanation:

If you think of this as a linear problem, the magnitude of the velocity will simply be:

And the other equations of motion work in a similar way:

The distance along the direction of travel is simply one eighth of a circle:

Replacing this value in the equation of motion for distance gives: