# The shortest distance ...

Level pending

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):

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

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