A particle moves along a circular path over a horizontal XY coordinate system, at constant speed. At time t1=5 s, it is at point (5.00 m, 6.00 m) with velocity (3π m/s)j and acceleration in the positive X direction. At time t2=10 s, it has velocity (−3π m/s)i and acceleration in the positive Y direction. What are the (a) X and (b) Y coordinates of the center of the circular path if t2−t1 is less than one period?

A particle moves along a circular path over a horizontal XY coordinate

1.	A particle moves along a circular path over a horizontal XY coordinate system, at constant speed. At time t1=5 s, it is at point (5.00 m, 6.00 m) with velocity (3π m/s)j and acceleration in the positive X direction. At time t2=10 s, it has velocity (−3π m/s)i and acceleration in the positive Y direction. What are the (a) X and (b) Y coordinates of the center of the circular path if t2−t1 is less than one period?
Answer» A particle moves along a circular path over a horizontal XY coordinate system, at constant speed. At time $t_{1} = 5 s$ , it is at point (5.00 m, 6.00 m) with velocity $(3 π m / s) j$ and acceleration in the positive X direction. At time $t_{2} = 10 s$ , it has velocity $(- 3 π m / s) i$ and acceleration in the positive Y direction. What are the (a) X and (b) Y coordinates of the center of the circular path if $t_{2} - t_{1}$ is less than one period?