Question

Find vector and parametric equations of this moving object: Velocity=(3,-1) and position at time t=0 is (2,3).

Someone with vector knowledge! Please!

Answer 1

do you know how to find the vector and parametric equations?

Answer 2

position is integration of velocity

Answer 3

i'm sorry... i'm not sure what that means...

Answer 4

that means im working on trying to understand the quesiton as posted :)

Answer 5

is this velocity defined for all positions? or just the position of (2,3) ?

Answer 6

Just that position, i assume. there's no other info given.

Answer 7

if its defined for all positions; then we have a constant velocity to which every point is defined as:

\[\int Velocity=\int(3,-1)=(3x+c_x,-y+c_y)\]

Answer 8

or rather ts then xs and ys; kinda muddled a few things in the mind there lol

Answer 9

but when t=0 then we know our constants .... they are 2 and 3

Answer 10

so, r = <3t+2, -t+3>

and this we would be able to work with forming equations

Answer 11

www.mecca.org/~halfacre/MATH/plesson6.htm
This could be exactly what you are looking for.

Answer 12

this "freezing the system when you hit post" is getting annoying ....

Answer 13

i would the assume that the parametrics are:

x = 2 + 3t
y = 3 - t

Answer 14

That's what I think also.

Answer 15

i never really use a "vector" form tho; it just seems pointless most of the time :)

Answer 16

And then I think the vector equation is (2,3)+(3,-1)t

Answer 17

it is, but some books like to use the <..> to encase the vector itself

Answer 18

Yes. You are correct. I just didn't bother.

Answer 19

I think you and I are more interested in this question than the asker.

Answer 20

lol, at times we have to amuse ourselves ;)

Answer 21

I guess.

Answer 22

Lol i am pretty confused, but I think you explained it pretty well.... anyways. :??