Particle acceleration and velocity Problem

1. Jan 30, 2007

s4orce

A particle is moving along a straight line such that its acceleration is defined as a=(4s^2)m/s^2, where s is in meters. If v=-100m/s when s=10m and t=0, determine the particles velocity as a function of position.

Now I'm taking the integral of a but when I plug in the other parts, it doesn't work out. I think I'm doing something wrong.

Someone please comment on how-to approach this problem step by step thanks!

2. Jan 30, 2007

Cyrus

$$a(t)= \frac{d(s')}{dt} =4s^2$$

Move over dt integrate, set the limits, and solve.

3. Jan 30, 2007

s4orce

Can you explain a little further please?

4. Jan 30, 2007

Cyrus

Which part?

What dynamics book are you using? There should be a problem similar to this given somewhere as an example.

5. Jan 30, 2007

s4orce

after moving over dt to integrate, how did you approach it from there

6. Jan 30, 2007

Cyrus

what do you mean? Show me some work please.

7. Jan 30, 2007

s4orce

how can i post the work here?

8. Jan 30, 2007

Cyrus

Type out what you got and what you did.

You can use [tex] and [ / tex] tags to make it look nicer.

9. Jan 30, 2007

s4orce

integral 4s^2 = (4s^3)/3

s=10

4(10^3)/3 = 1333.33

1333.33/10 = 133.33 = particle velocity at x position

10. Jan 30, 2007

Cyrus

Are you familiar with the definition of acceleration?

Which class is this HW for?

11. Jan 30, 2007

s4orce

It is for a dynamics class, I just want to get a head start on a set of problems that were given to me

12. Jan 30, 2007

Cyrus

I think you need to review the basics of dynamics. What it means when they say acceleration, velocity, and position.

I think you need to solidify the fundamentals before doing this HW. You should know better that acceleration is the second derivative of position by now.

13. Jan 30, 2007

s4orce

so you cant help me?

14. Jan 30, 2007

Cyrus

Sure, tell me what the definition of acceleration is, and look for your mistake.

I can point out mistakes, but im not going to teach you fundamentals.

15. Jan 30, 2007

s4orce

can you solve it and I can find my mistake, or post how.

also acceleration is the rate at which a object increases/changes its velocity(speed)

16. Jan 30, 2007

Cyrus

Ah, Im sorry. Its asking for velocity as a function of position. I was thinking you had to integrate twice.

What you need to do: set up your limits of integration.

17. Jan 30, 2007

s4orce

?????????????????

18. Jan 30, 2007

Cyrus

Do you know what limits of integration are?

19. Jan 30, 2007

s4orce

yes integral from one value to another

20. Jan 30, 2007

Cyrus

so what are your value you used?