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, watchesa moving object her eyeball rotatesthrough 20.0in a time interval of 70.5ms.

What is the magnitude of the average angular velocity of the eye?

_________ rad/s

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

What tangential acceleration would the contact-lens accelerometers record in this case?

_________ m/s²

Please show the working for this three-part question