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.
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.
Start with the speed is 5 cm/s so the square of the speed:
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.
(2, 1) does not lie on y = 1/x.
And what coordinate system is to be used? Intrinsic coordinates?
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?
Refer to my edit of CB's reply:
Originally Posted by CaptainBlack
[snip] .... (1)
Now you know that so:
.... (2)
Substitute x = 2 into (2). Then substitute the result into (1) and solve for dx/dt. Substitute your value of dx/dt into (2) and solve for dy/dt. Use the values to get the velocity vector.
Substitute x = 2 into (2). Then substitute the result into (1) and solve for dx/dt. Substitute your value of dx/dt into (2) and solve for dy/dt. Use the values to get the velocity vector.
Doesn't the Bible say something about not numbering the equations of your posts!?