The ability of the human eye to rapidly rotate was studied using contact lenses fitted with accelerometers. While a subject, whose eyeball has radius 1.25 cm, watches a moving object her eyeball rotates through 20.0 in a time interval of 63.9 ms.

1. What is the magnitude of the average angular velocity of the eye? rad/s

2. Assume that the eye starts at rest, rotates with a constant angular acceleration during the first half of the interval, and then the rotation slows with a constant angular acceleration during the second half until it comes to rest. What is the magnitude of the angular acceleration of the eye? rad/s2

3. What tangential acceleration would the contact-lens accelerometers record in this case? m/s2