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

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?