A coin with a diameter of 2.04 cm rolls up a 74.7degree incline.?

Question

The coin starts with an initial angular speed od 56.2 rad/s and rolls in a straight line without slipping. The acceleration of gravity is 9.8 m/s^2. How far does it roll up the inclined plane (answer in m)?

Answer 1

diameter of coin=2.04cm=.0204m
radius of coin,r=.0204/2=.0102m

angular speed =56.2 rad/s
linear speed =ang. speed*r
=56.2*.0102
=.57m/s

a=v^2/r
=.57^2/.0102
=-31.37m/s(negative because coin is decelerating)

v^2-u^2=2as (v is the final speed=0; u is the initial speed)

0-.57^2=2*(-31.37)s
s=0.51m