Morning to you fellow Engineers,i need help with this Assignment question on velocity-"A particle is moving along the x-axis so that its distance,x in meters,at time,
t in seconds,is x(t)=3,2 √ tan 5t. Find its velocity at time t=1,5 seconds .i know velocity is "dx/dt"in this case but i have a litlle problem with solving going forward.Any assistance in this question will be greatly appreciated.

 

So step 1 is to compute the derivative. How should you go about setting that up?
You might also want to learn Tex, which this site supports. Is this your position function?

\(x(t)=3.2 sqrt{tan(5t)}\)

 

dx(t) / dt = 3,2 d(sqrt(tan(5))) / dt = 3.2 * 1/2 * [tan(5t)^-0.5] * d(tan(5t)) / dt

after that, you can either use a formula on d(tan(5t))/dt, or think of tan(5t) as sin(5t)/cos(5t) and go from there.

 

So step 1 is to compute the derivative. How should you go about setting that up?
You might also want to learn Tex, which this site supports. Is this your position function?

\(x(t)=3.2 sqrt{tan(5t)}\)

yes it is

 

So step 1 is to compute the derivative. How should you go about setting that up?
You might also want to learn Tex, which this site supports. Is this your position function?

\(x(t)=3.2 sqrt{tan(5t)}\)

thanks a lot Papa bravo

 

dx(t) / dt = 3,2 d(sqrt(tan(5))) / dt = 3.2 * 1/2 * [tan(5t)^-0.5] * d(tan(5t)) / dt

after that, you can either use a formula on d(tan(5t))/dt, or think of tan(5t) as sin(5t)/cos(5t) and go from there.

Many thanks this is absolutely helpful indeed.

 

Yes, isn't it always helpful when someone does your homework for you?

 

@dannyf ...At least you didn't give him the final result.
@Breeze ...Are you going to show us the final finished result? In TeX?

 

@dannyf ...At least you didn't give him the final result.
@Breeze ...Are you going to show us the final finished result? In TeX?

i am not yet proficient with TEX but will soon study it,i have actually came across it in a couple of other sites as well..

 

It's well worth getting familiar with. It is far, far more then just something for making formulas display in a forum -- it is intended for electronic typesetting in general. For instance, my entire PhD dissertation was written in LaTeX, many (most?) professional journals and conferences want submissions to be in TeX/LaTeX, and many book publishers require that it be used.

 

Thanks a lot Sir,your advice is absolutely invaluable,may i know which site i can get comprehensive info about LaTex so i can start learning it?

 

Start Here:

http://forum.allaboutcircuits.com/t...f-tex-easy-awesome-looking-posts-howto.21380/

 

Thanks a million

 

Thanks for the pointers on TeX. I joined the forums about a month ago, and I did not know you could do this. I've been typing ugly text formulas.