# Velocity and Acceleration

Discussion in 'Homework Help' started by Breeze, Sep 20, 2015.

1. ### Breeze Thread Starter New Member

Jun 30, 2015
24
1
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.

2. ### Papabravo Expert

Feb 24, 2006
10,021
1,758
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?

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

3. ### dannyf Well-Known Member

Sep 13, 2015
1,611
317
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.

Jun 30, 2015
24
1
yes it is

5. ### Breeze Thread Starter New Member

Jun 30, 2015
24
1
thanks a lot Papa bravo

6. ### Breeze Thread Starter New Member

Jun 30, 2015
24
1
Many thanks this is absolutely helpful indeed.

7. ### WBahn Moderator

Mar 31, 2012
17,457
4,701
Yes, isn't it always helpful when someone does your homework for you?

panic mode likes this.
8. ### Papabravo Expert

Feb 24, 2006
10,021
1,758
@dannyf ...At least you didn't give him the final result.
@Breeze ...Are you going to show us the final finished result? In TeX?

9. ### Breeze Thread Starter New Member

Jun 30, 2015
24
1
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..

10. ### WBahn Moderator

Mar 31, 2012
17,457
4,701
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.

11. ### Breeze Thread Starter New Member

Jun 30, 2015
24
1
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?

Feb 24, 2006
10,021
1,758
13. ### Breeze Thread Starter New Member

Jun 30, 2015
24
1
Thanks a million

14. ### Russmax Member

Sep 3, 2015
81
12
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.