ElectricPavlov

5555 / (2/3)   =    5555 x  3/2 = 16665/2 =8332.5

Just substitiute   t = 14 into the equation

5 + 2.5 (sin (30 x 14)) = 7.165 meters

See answer previous post

First, subtract 5 from both sides of the equation to get

1.7 = 2.5 sin(30t)      Now divide both sides by 2.5

.68 = sin(30t)       now use the arcsin fxn to get

42.84 = 30t          Now divide both sides by 30

1.428 = t

Your next post gives more information  .....  t is in hours    1.428 hours     1 hour 25 minutes 40.8 seconds

Sorry for your confusion.....people often ask questions on this forum   like the cube root of 27 and ask it like:

sqrt3 (27)       I was doing the same thing   sqrt5 (32)  MEANS the 5th root of 32.      Thought that was clear to everyone....guess not.....

.......re-read it .....I said sqrt5(x)  is the 5th root of (x)     there is no sqrt(5) in the equation.....I do not have the ability to put the little 5 superscript in the sq root sign~!

Answer #3 above was a continuation of answer #1 after the questioner asked how I got my answer...Read that one too....

sqrt5(1/32) = sqrt5((1/2)^5)) = 1/2 !!!!

( 1/2)^5 = .03125        AND  sqrt5(.03125) = 1/2   !!!!

What is the problem YOU are having?????

That is what I said......read my answer !   D'Oh!  

Sorry for the unclarity:    sqrt5 means '5th root'   

so sqrt5 (x^5)  = x   right?

Then sqrt5(1/2 x  1/2 x 1/2 x 1/2 x 1/2)  =  sqrt5( ( 1/2)^5 )  = 1/2  

Sorry...misread the question originally:

   32(-1/5) =  sqrt5(1/32) = sqrt5( 1/2 x 1/2 x 1/2 x 1/2 x 1/2)  = 1/2