Halliday, Resnick & Walker — Motion in Two and Three Dimensions: Problem 63

At \(t_1 = 2.00 \text{ s}\), the acceleration of a particle in counterclockwise circular motion is \((6.00 \text{ m/s}^2)\hat{i} + (4.00 \text{ m/s}^2)\hat{j}\). It moves at constant speed. At time \(t_2 = 5.00 \text{ s}\), the particle's acceleration is \((4.00 \text{ m/s}^2)\hat{i} + (-6.00 \text{ m/s}^2)\hat{j}\). What is the radius of the path taken by the particle if \(t_2 - t_1\) is less than one period?