anonymous
  • anonymous
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. .......
Mathematics
  • Stacey Warren - Expert brainly.com
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
what is the particles displacement from t=0 to t=3Pi/2 seconds?
anonymous
  • anonymous
it is the integral of sint from t=0 to t=3pi/2
anonymous
  • anonymous
let s be the displacement, then \[s = \int\limits_{0}^{3\pi/2}\sin t dt= - \cos t _{0}^{3\pi/2}=-(0-1)= 1 m\]

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anonymous
  • anonymous
oh wow! Thank you so much! math is just not my thing even though we went over these since the beginnign of time!
anonymous
  • anonymous
you're welocme :) is this a course in calculus?
anonymous
  • 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.
anonymous
  • anonymous
what would the distance the particle traveled during the time interval be?
anonymous
  • anonymous
do you first know the difference between the displacement and distance?!
anonymous
  • 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?
anonymous
  • 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?
anonymous
  • anonymous
your displacement in this case is l3-2l=1
anonymous
  • anonymous
so it is just where you are. not how many steps you have taken...
anonymous
  • anonymous
but the total distance you traveled is 3, which is 2 right steps and 1 left step
anonymous
  • anonymous
right ok. got it. thank you. are you like a math major or professor or just a math super genious?
anonymous
  • anonymous
lol none of them :P
anonymous
  • anonymous
than what are you?
anonymous
  • 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)
anonymous
  • anonymous
a human being I guess
anonymous
  • anonymous
oh ok... you cant be in high school...to know all that..
anonymous
  • anonymous
I am a university student.
anonymous
  • 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. :)
anonymous
  • anonymous
haha that could be right
anonymous
  • 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 :)
anonymous
  • anonymous
Have fun :) I miss high school by the way!!

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