Optimization(?) Problem

1. Dec 11, 2005

seiferseph

A particle is travelling along the postivie x axis at a constant speed of 5 units per second.

a) Where is the point when its distance from the point (0, 1) is increasing at a rate of 4 units per second?

b) Where is the point when its distance from the point (0, 1) is increasing at a rate of 6 units per second?

I am completely stuck, I could use some hints, thanks!

2. Dec 11, 2005

Tom Mattson

Staff Emeritus
Start by writing down a function for the distance between the particle and the point (0,1) as a function of time.

And no, this is not an optimization problem.

3. Dec 11, 2005

seiferseph

one sec i'll post some stuff i was trying, and the question isn't optimization but i'm not really sure how to classify it

4. Dec 11, 2005

seiferseph

actually this would be a related rates problem then