What is the velocity vector of a particle traveling to the right

along the hyperbola y = 1/x with constant speed 5cm/s when the

particle's location is (2, 1)?

I'm not sure where to start or what formula(s) I should use.

Printable View

- Oct 16th 2010, 09:58 PMZeroVectorHow do I start this problem?
What is the velocity vector of a particle traveling to the right

along the hyperbola y = 1/x with constant speed 5cm/s when the

particle's location is (2, 1)?

I'm not sure where to start or what formula(s) I should use. - Oct 16th 2010, 10:14 PMCaptainBlack
- Oct 16th 2010, 10:21 PMmr fantastic
- Oct 16th 2010, 10:41 PMZeroVector
Sorry, I was mindlessly altering it so that I could (try and) reproduce it by myself. The coordinates my book gives is (2, 1/2).

Edit: I'm still sort of confused. What do I do with dy/t = -1/x^2 dx/dt? And (dx/dt)^2 + (dy/dt)^2 = 25? - Oct 16th 2010, 11:15 PMmr fantastic
- Oct 16th 2010, 11:21 PMCaptainBlack
- Oct 16th 2010, 11:30 PMmr fantastic
- Oct 17th 2010, 12:45 AMZeroVector
Just to make sure, is the velocity vector:

v = < SQRT(400/17), -0.25 * SQRT(400/17) > - Oct 17th 2010, 01:08 AMCaptainBlack