Ask your own question, for FREE!
Mathematics 19 Online
OpenStudy (anonymous):

Calculus integral question...somehow I sense that satellite73 will get to this before anyone else does:

OpenStudy (anonymous):

OpenStudy (anonymous):

let's see

OpenStudy (anonymous):

D = integral of velocity = Int ( 3t - 10 ) = int ( 3t^2/2 - 10t )

OpenStudy (anonymous):

wait sorry D = 3t^2/2 - 10t +C

OpenStudy (anonymous):

Actually we got limits of integration so: 3t^2/2 - 10t from 0 to 4

OpenStudy (anonymous):

3*16/2 - 40 = 3*8-40 = 24-40 = -16

OpenStudy (anonymous):

first one is \[\int_0^4 3-10tdt\]

OpenStudy (anonymous):

3t - 10 satellite u're wrong

OpenStudy (anonymous):

Integral, impressive. That is correct

OpenStudy (anonymous):

lol now 2nd one: We gotta check where it changed directions..

OpenStudy (anonymous):

try just 16

OpenStudy (anonymous):

cuz usually distance is abs(disp)

OpenStudy (anonymous):

oops

OpenStudy (anonymous):

would help if i could read wouldn't it?

OpenStudy (anonymous):

i think so..

OpenStudy (anonymous):

16's not right :/

OpenStudy (anonymous):

yeah it is -16

OpenStudy (anonymous):

aww i knew it wouldn't be that simple..

OpenStudy (anonymous):

Nope it isnt -16 either

OpenStudy (anonymous):

what?

OpenStudy (anonymous):

No he is talking about part 2

OpenStudy (anonymous):

Yeah i'm talking about part 2. Integral got the answer for part 1

OpenStudy (anonymous):

oh part two you have to break it up into two pieces

OpenStudy (anonymous):

oaky do this: 3t-10=0 3t=10 t = 10/3 and split the limits at 10/3

OpenStudy (anonymous):

So it's from 0 to 10/3 and 10/3 to 4. Then evaluate individual integrals and add the abs values of those two numbers.

OpenStudy (anonymous):

Satellite is what im doing right?

OpenStudy (anonymous):

Yeah, is that the right way to do it, satellite? and do you have an answer Integral?

OpenStudy (anonymous):

what integral said. you need \[\int_0^{\frac{10}{3}}10-3t dt+\int_{\frac{10}{3}}^43t-10dt\]

OpenStudy (anonymous):

yes what integral said.

OpenStudy (anonymous):

abs(-50/3) + abs(2/3) = 50/3 + 2/3 = 52/3

OpenStudy (anonymous):

yes. right

OpenStudy (anonymous):

17.333

OpenStudy (anonymous):

YAY!!! Time to do banana dance!

OpenStudy (anonymous):

http://e.vampirefreaks.com/emotes/banana.gif

OpenStudy (anonymous):

banana dance?

OpenStudy (anonymous):

That is correct, well done guys

Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!
Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!