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Mathematics 11 Online
OpenStudy (wade123):

@Loser66

OpenStudy (wade123):

@Loser66 i dont even know where to start, please explain??

OpenStudy (loser66):

for velocity, it is v = t^2- 2t, then the equation of distance is x = t^3/3 -t^2 hence from 0 to 3 it moves 0 ft, hahaha.. I don't know why but that is my answer

OpenStudy (wade123):

its asking me for numerical values like a fill in :/

OpenStudy (loser66):

https://www.desmos.com/calculator/nmavohrxid

OpenStudy (wade123):

:/

OpenStudy (wade123):

@DanJS

OpenStudy (wade123):

@jim_thompson5910

jimthompson5910 (jim_thompson5910):

are you able to graph v(t) ?

OpenStudy (wade123):

yess ill paste it

OpenStudy (wade123):

http://www.wolframalpha.com/input/?i=t%5E2-2t

jimthompson5910 (jim_thompson5910):

you might be better off using something like desmos to graph https://www.desmos.com/calculator since it allows you to move the window around

jimthompson5910 (jim_thompson5910):

you use x instead of t as the variable

OpenStudy (wade123):

https://www.desmos.com/calculator

OpenStudy (wade123):

i dont know what its not copying

jimthompson5910 (jim_thompson5910):

its fine

jimthompson5910 (jim_thompson5910):

notice you have 2 areas: one below the x-axis (from x = 0 to x = 2) and one above the x axis (from x = 2 to x = 3)

OpenStudy (wade123):

yeah i see that

jimthompson5910 (jim_thompson5910):

you will find the area under the curve for each piece then you add the areas the positive version of each area

jimthompson5910 (jim_thompson5910):

|Area1| + |Area2| = total distance traveled

jimthompson5910 (jim_thompson5910):

using absolute value bars help ensure you have positive areas

OpenStudy (wade123):

area under the curve? im confused

jimthompson5910 (jim_thompson5910):

have you learned about integral calculus?

OpenStudy (wade123):

yes taking the integral

OpenStudy (wade123):

oh thats what you want me to do

jimthompson5910 (jim_thompson5910):

take the integral from 0 to 2, force it to be positive take the integral from 2 to 3, force it to be positive then add the two positive results to get your final answer

OpenStudy (wade123):

just making sure, 0 is on top right?

jimthompson5910 (jim_thompson5910):

\[\Large \text{Total Distance} = \left|\int_{0}^{2}v(t)dt\right| + \left|\int_{2}^{3}v(t)dt\right|\]

OpenStudy (wade123):

4/3?

OpenStudy (wade123):

for the first area

OpenStudy (wade123):

i got 4/3 for the second too

OpenStudy (wade123):

so 8/3?

jimthompson5910 (jim_thompson5910):

you are correct

jimthompson5910 (jim_thompson5910):

that's the exact total distance traveled in feet

OpenStudy (wade123):

yay! so thats it? thanks(:

jimthompson5910 (jim_thompson5910):

yes it is, yw

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