A sphere begins rolling down an incline. It starts from rest and rolls with an angular acceleration of 0.5 rad/s2.
The sphere reaches the bottom of the incline after 5 seconds.
a) What is the angular velocity of the sphere at this point?
b) How many times did the sphere rotate before reaching the bottom?
c) Assuming the sphere has a radius of 0.25 m, calculate:
The acceleration of the sphere
The speed of the sphere at the bottom of the incline
The total distance traveled by the sphere
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