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A sphere begins rolling down an incline. It starts from rest and rolls with an angular...

  1. A sphere begins rolling down an incline. It starts from rest and rolls with an angular acceleration of 0.5 rad/s2.

    1. The sphere reaches the bottom of the incline after 5 seconds. What is the angular velocity of the sphere at this point?

    2. How many times did the sphere rotate before reaching the bottom?

    3. Assuming the sphere has a radius of 0.25 m, calculate:

      1. The acceleration of the sphere

      2. The speed of the sphere at the bottom of the incline

      3. The total distance traveled by the sphere

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