# Spyrals!

**Classical Mechanics**Level 5

Determine the time taken by the hose to completely unroll.

**Details and Assumptions**

\(R\ll L\).

At all instant, the hose is performing pure rolling.

The hose is arbitrarily flexible.

The work necessary for its deformation, air resistance and rolling resistance can be neglected.

\(L = 100 \text{ m}, \ v_0 = 7\text{ ms}^{-1}\).