A solid cylinder rolls up an inclined plane of angle of inclination `30^(@)`. At the bottom of the inclined plane, the centre of mass of the cylinder has a speed of `5 m//s`.
(a) How far will the cylinder go up the plane ? (B) How long will it take to return to the bottom ?

Explanation

To solve the problem step by step, we will break it down into parts (a) and (b).

### Part (a): How far will the cylinder go up the plane?

1. **Identify the initial conditions**:
- The speed of the center of mass of the cylinder, \( v = 5 \, \text{m/s} \).
- The angle of inclination, \( \theta = 30^\circ \).

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