# Finding tangential and normal velocity from a curve [closed]

How do you find tangential and normal velocity from a curve?

I know how to find dy/dx, but I have no idea how to obtain ut and un and dv/dt.

## closed as off-topic by Gert, tpg2114♦May 14 at 21:36

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• Hi. Could you please show some workings and your thought process. We don't answer exercise type questions here but we're happy to nudge someone who is struggling in the right direction. – Ollie113 May 14 at 13:42
• I don't understand how to find ut. I have no idea where to start. – Yolanda Hui May 14 at 13:52
• By definition there is no normal velocity to a curve, velocity is tangent to a curve. Acceleration on the other hand has components along and normal to the curve. – ggcg May 14 at 14:25

Here, $$u_t$$ and $$u_n$$ are unit vectors in tangential and normal directions(can be found from dy/dx)
• A unit vector making angle $\theta$ with horizontal is $cos \theta \vec i + sin\theta \vec j$ .You get $\theta$ from dy/dx – Tojrah May 14 at 14:02