## anonymous 5 years ago the velocity of a particle moving along he x-axis for time t(greater than or equal to)0 is given by v(t)=sin t m/sec. .......

1. anonymous

what is the particles displacement from t=0 to t=3Pi/2 seconds?

2. anonymous

it is the integral of sint from t=0 to t=3pi/2

3. anonymous

let s be the displacement, then $s = \int\limits_{0}^{3\pi/2}\sin t dt= - \cos t _{0}^{3\pi/2}=-(0-1)= 1 m$

4. anonymous

oh wow! Thank you so much! math is just not my thing even though we went over these since the beginnign of time!

5. anonymous

you're welocme :) is this a course in calculus?

6. anonymous

yes. it's ap calculus at my high school. but honestly my teacher teaches it way too fast because he is obsessed with us passing the ap exam. i think he would be better off teaching at a college level.

7. anonymous

what would the distance the particle traveled during the time interval be?

8. anonymous

do you first know the difference between the displacement and distance?!

9. anonymous

yes displacement is like the amount you have taken overall. say your were at 9 than you took 3 steps left your displacement would be 12, right?

10. anonymous

let's assume you were is position (in the number line) 2 and then you move two steps to the right and then 1 step to the left..so you're now in position 3. okay?

11. anonymous

your displacement in this case is l3-2l=1

12. anonymous

so it is just where you are. not how many steps you have taken...

13. anonymous

but the total distance you traveled is 3, which is 2 right steps and 1 left step

14. anonymous

right ok. got it. thank you. are you like a math major or professor or just a math super genious?

15. anonymous

lol none of them :P

16. anonymous

than what are you?

17. anonymous

if you notice the displacement can be calculated by taking the what the distance you walk to the right minus the distance you walk to the left..( which is 2 -1 =1) while the total distance is just the sum of them (2+1=3)

18. anonymous

a human being I guess

19. anonymous

oh ok... you cant be in high school...to know all that..

20. anonymous

I am a university student.

21. anonymous

hmmm. well. i can not be positive but i'm coming to the conlusion that you are smart. at least when it comes to math. :)

22. anonymous

haha that could be right

23. anonymous

lol. well even though i am so not done with my math work and need tons more help, i must go to my next class because the bell rang... can not wait until this summer to start college so that i can pick my own times to go to school! lol. Thanks for all your help. it wont be long before i am back on though :)

24. anonymous

Have fun :) I miss high school by the way!!