Question

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?

Answer 1

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

Answer 2

0

Answer 3

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.

Answer 4

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?

Answer 5

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

Answer 6

don't i deserve a fan :(

Answer 7

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

Answer 8

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

Answer 9

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

Answer 10

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

Answer 11

o wow ha

Answer 12

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.=)

Answer 13

I'm just lazy

Answer 14

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.

Answer 15

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

Answer 16

Have a pleasant day.

Answer 17

go for it up bub I appreciate what help you provided

Answer 18

You are welcome.