# calculus

Me again. One last question! Again, just needed my answer verified with any explanation or walk-through.

The position of a particle moving along a coordinate line is s=√(3+6t) with s in meters and t in seconds. find the particle's acceleration at t=1 second.

a. 1 m/sec^2

b. -1/18 m/sec^2

c. 1/3 m/sec^2

d. -1/3 m/sec^2

1. s = (3+6t)^(1/2)

v = (1/2)(3+6t)^(-1/2) (6) = 3(3+6t)^(-1/2)

a = (-3/2)(3+6t)^(-3/2) (6)
= -9(3+6t)^(-3/2)

when t = 1
a =-9(9)^(-3/2) = -9(1/27) = -1/3

you are correct!

posted by Reiny
2. s = (6t+3)^.5

ds/dt = .5 (6t+3)^-.5 (6)
= 3 (6t+3)^-.5

d^2s/dt^2 = 3 [ -.5(6t+3)^-1.5 *6)
= -9 /(6t+3)^1.5
if t = 1
-9 / 9^(3/2)
-9/27
-1/3
yes D

posted by Damon
3. a = ds / dt

a = ( 1 / 2 ) * [ 1 / sqrt ( 6 t + 3 ) ] * 6

a = 3 / sqrt ( 6 t + 3 )

t = 1

a = 3 / sqrt ( 6 * 1 + 3 )

a = 3 / sqrt ( 6 + 3 )

a = 3 / sqrt ( 9 )

a = 3 / 3

a = 1 m / s ^ 2

posted by Bosnian
4. Sorry.

v = ds / dt

posted by Bosnian

## Similar Questions

1. ### Chemistry

Where am I going wrong? Law, Theory or Hypothesis 1) A doctor thinks, but has not verified, that a patient with stomach pain has appendicitis - Hypothesis 2) a description that predicts what happens, but does not explain how
2. ### English

1. When did master lose Chuchu? 2. Master lost Chuchu when they went out for a walk. 3. You must be master of your circumstances. --------------------------------- #2 is the answer to the question 1. Will you look at the word
3. ### Physics

Each crate moves from position 1, to position 2 to position 3. All of the crates are identical. the coordinate values given are in meters. Rank A through F in order from least to greatest, on the basis of the displacement from the
4. ### Science -- Explaination on Heat Capacity?

I need some1 to explain heat capacity to me because the way my lesson is teaching it is EXTREMELY confusing!! A simple explanation would be nice! Dumb it down 4 a 7th grader!!!!! If you could use the following question in the
5. ### Science 1 easy question!!!!

If new information about the behavior of atoms is discovered and verified, then revisions will need to be made to the current___ My answer: Atomic model?
6. ### Math

A rectangular garden of dimension 12m by 9m is enclosed by a uniform concrete walk 1.5m wide. If the walk is to be tiled, how many 30cm- square tile are needed to tile the entire walk?
7. ### Precalculus

A 100 foot tall antenna sits part way up a hill. The hill makes an angle to 12 degrees with the horizontal. In other words, if you were going to walk up the hill, you would walk at an angle of 12 degrees. To keep the antenna
8. ### Pre calculus

A 100 foot tall antenna sits part way up a hill. The hill makes an angle to 12 degrees with the horizontal. In other words, if you were going to walk up the hill, you would walk at an angle of 12 degrees. To keep the antenna
9. ### math(pre calc)

A 100 foot tall antenna sits part way up a hill. The hill makes an angle to 12 degrees with the horizontal. In other words, if you were going to walk up the hill, you would walk at an angle of 12 degrees. To keep the antenna
10. ### VECTOR MATH

In an orienteering race, you walk 100 m due east and then walk N70¡ÆE for 60 m. How far are you from your starting position, and at what bearing?

More Similar Questions