## anonymous 5 years ago If the velocity, v, in ft/sec, of an object is given by v=sqrt(144-12t), where t is the time in seconds, how far does it travel coming to a stop?

1. anonymous

okay lets do this together. what's the velocity of an object when it comes to a stop?

2. anonymous

0

3. anonymous

when t=12...velocity is zero. But this doesn't tell you how far you've gone. You need the position function. Integrate that thing.

4. anonymous

so, as maph said, if you equate v to 0, you will get t = 12 seconds. So, in 12 seconds, how many feet will the object travel given its velocity is v?

5. anonymous

distance = speed * time. now, since the speed is a function of time, you have to integrate the vtdt with limits 0 and 12

6. anonymous

don't i deserve a fan :(

7. anonymous

yea ill be ur fan but i'm new on here

8. anonymous

$\int\limits_{0}^{12}v(t)dt$

9. anonymous

how do i become ur fan i clicked on ur named and nothing comes up about being ur fan.

10. anonymous

click "become a fan" next to the user's name :P

11. anonymous

o wow ha

12. anonymous

Omg every one is super smart i feel like i am just using every one to gat answers coz im too dumb to do it myself.=)

13. anonymous

I'm just lazy

14. anonymous

we are here to help you understand. You should always look to do your problems on your own. Its better to learn how to do problems than to post individual problems here and get a solution for them.

15. anonymous

Well, if you are lazy and uninterested to learn, I will not be helping you, sorry.

16. anonymous

Have a pleasant day.

17. anonymous