# Thread: Minimum speed given parametric form of position vector

1. ## Minimum speed given parametric form of position vector

The position function of a particle is given by $\mathbf r(t) = \langle -1 t^2, -2 t, t^2 - 1 t\rangle$.
At what time is the speed minimum?

2. Originally Posted by zpwnchen

The position function of a particle is given by $\mathbf r(t) = \langle -1 t^2, -2 t, t^2 - 1 t\rangle$.
At what time is the speed minimum?
Can you find the velocity vector? Can you get the speed from this? Please show all your working and state where you get stuck.

### the position fuc

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