Optimization Problem: Particle Distance and Rate of Change

[seiferseph]

A particle is traveling 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!

 

[quantumdude]

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.

 

[seiferseph]

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.

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

 

[seiferseph]

actually this would be a related rates problem then