# The shortest distance ...

Given the function \(f(t)\)

\(f(t)=\sqrt{1105t^{2}-356t+29}\)

which describes the distance between the two vectors \(P_{t}\) and \(Q_{t}\) - we would like to know:

**What is approximately (rounded to two decimal figures) the minimum distance between vector \(P_{t}\) and vector \(Q_{t}\) ?**

*Additional information (not really necessary for solving this problem):*

\(\vec{P_{t}Q_{t}}={5 - 32t \choose 2 - 9t}\)