The position vector for a particle moving on a helix is c(t)= (cost, sint, t^2). Find the speed of the particle at time t = 4pi

Question

The position vector for a particle moving on a helix is c(t)= (cost, sint, t^2).  Find the speed of the particle at time t = 4pi

anonymous · Answer

what is the velocity vector?

anonymous · Answer

i have already plugged 4pi into each to get ( 1, 0, 16pi^2 ).  just dont know what to do now

turingtest · Answer

given a position function, velocity is found by...?

anonymous · Answer

wouldn't velocity be c'(t)?

turingtest · Answer

yes

anonymous · Answer

that is another part or the question...  haven't gotten there yet.  was looking for a formula to find speed

anonymous · Answer

how is speed related to velocity?

anonymous · Answer

the anti-deriv. of velocity?

turingtest · Answer

position is the anti-derivative of velocity
so velocity is the derivative of position, like yuo said
that makes c'(t)=v(t)=?

anonymous · Answer

....how does the speed of my original question = sqrt( 1+ 64pi^2 ).  i don't understand why i'm trying to find velocity right now...

anonymous · Answer

speed is the magnitude of velocity

anonymous · Answer

@TuringTest ....how does the speed of my original question = sqrt( 1+ 64pi^2 ).  i don't understand why i'm trying to find velocity right now...

anonymous · Answer

NEVERMIND!  got it