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#?
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: