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Mathematics 12 Online
OpenStudy (khantahmina):

In driving in a straight line from New York to Boston, your position function given in miles from New York is described by the function:

OpenStudy (khantahmina):

\[f(t) = \frac {5 t^3}{3} - 25 t^2 + 120 t \]

OpenStudy (khantahmina):

so i need help with this: 9: How far are you from new york at t=1/2 hrs 11: at what time are you backtracking heading back to NY? 12:are you speeding up or slowing down at t=3 hrs?

OpenStudy (steve816):

Damn, that must be dangerous to drive in a straight line all the way to Boston!

OpenStudy (khantahmina):

haaaa

OpenStudy (3mar):

9. we would put t=0.5 in the governing equation. can you share your work and I check it if correct or not?

OpenStudy (khantahmina):

\[f(t) = \frac {5 t^3}{3} - 25 t^2 + 120 t\]

OpenStudy (khantahmina):

in tthat equation up there should t= 0.5

OpenStudy (3mar):

substitute directly for saving your time. I am sure that you know the equation.

OpenStudy (3mar):

Yes.

OpenStudy (khantahmina):

{5 (0.5)^3}/{3} - ( 25 (0.5)^2) + (120 (0.5))

OpenStudy (khantahmina):

53.9583333333333333 do about 54 miles

OpenStudy (3mar):

My dear sister, tell the answer and cascade all the details like substitution. Save your time

OpenStudy (khantahmina):

ok u wanted to see my work so there u go

OpenStudy (khantahmina):

ok im done with that one shall we move on to 11

OpenStudy (3mar):

Correct answer! Be at the top always!

OpenStudy (3mar):

Thank you for the medal!

OpenStudy (khantahmina):

Be at the top always! ~Inshallah

OpenStudy (3mar):

go to 11?

OpenStudy (khantahmina):

yes yes

OpenStudy (3mar):

Ok

OpenStudy (3mar):

at what time are you backtracking heading back to NY? For me, I need to know the distance between the two cities and double it to answer such question What do you think?

OpenStudy (khantahmina):

whhat

OpenStudy (khantahmina):

it takes u 8hrs to get to boston

OpenStudy (3mar):

how did you know?

OpenStudy (khantahmina):

says it in the problem...( THAT I DIDNT FINISH PUTTING UP

OpenStudy (khantahmina):

In driving in a straight line from New York to Boston, your position function given in miles from New York is described by the function: \[f(t) = \frac {5 t^3}{3} - 25 t^2 + 120 t \] where t is the number of hours since the trip began. It takes you 8 hours to get to Boston.

OpenStudy (khantahmina):

THATS THE FULL questionI JUST FORGOT TO POST THE LAST PART

OpenStudy (3mar):

Tricky young lady. Let me think wastefully!

OpenStudy (3mar):

So you can get the answer directly

OpenStudy (khantahmina):

OK THANKS i need to really hurry up i have 4 more questions and gotta pray isha salah n make dinner etc etc

OpenStudy (3mar):

Do you know what time at me?

OpenStudy (khantahmina):

excuse me didnt understand what u said

OpenStudy (3mar):

2:06 am and I don't want to go sleep because I am answering your question!

OpenStudy (khantahmina):

omg im sorry if im bothering u then tell me im sorry!!! u can get ahead to sleep if u want to

OpenStudy (3mar):

Of course I can but I feel stingy if I did.

OpenStudy (khantahmina):

its fine

OpenStudy (3mar):

so it'd better to continue!! what is next?

OpenStudy (khantahmina):

11: at what time are you backtracking heading back to NY?

OpenStudy (3mar):

means I traveled to boston and came back. right?

OpenStudy (khantahmina):

it means u went to Boston and asking in what time are u coming back to ny. like when r u coming back to ny

OpenStudy (khantahmina):

for example i went to boston at 4pm and what time am i coming back to ny.

OpenStudy (khantahmina):

no i cant bc im real confused

OpenStudy (3mar):

Easy, sister!

OpenStudy (khantahmina):

how so

OpenStudy (khantahmina):

how so brother?

OpenStudy (3mar):

11: at what time are you backtracking heading back to NY? This is what I get: I went to Boston (in 8 hrs) . end another case begins from Boston; what time would you take in your trip from Boston to NY? got it?

OpenStudy (3mar):

Hint: the same distance traveled in the same time.

OpenStudy (khantahmina):

boston + 8hrs = back to ny thats what i understand so far

OpenStudy (3mar):

I think he said "backtracking heading back to NY", not go and come back. makes sense?!

OpenStudy (khantahmina):

kind of

OpenStudy (3mar):

i need 100 % not some of it

OpenStudy (khantahmina):

well i dont get it all honestly

OpenStudy (khantahmina):

damn it its always the last question i have trouble with

OpenStudy (3mar):

Good learner! I really like who ask and stop the explanation when he sticks to something, even it looks like so simple

OpenStudy (3mar):

Is their a girl says "damn"?

OpenStudy (3mar):

especially a Muslim lady?

OpenStudy (khantahmina):

i meant it like darn it. like halas im done with this.

OpenStudy (3mar):

calm down...it is not the end of the world!

OpenStudy (khantahmina):

well im not getting a simple question as u say so it kinda makes me dumb in a way n im a HONOR STUDENT SO THHATS EVEN WORSE

OpenStudy (3mar):

""well im not getting a simple question as u say so it kinda makes me dumb in a way n im a HONOR STUDENT SO THHATS EVEN WORSE"" I did not get what you mean!?

OpenStudy (khantahmina):

I MEAN im an honor student and me not knowing how to answer a simple question is a joke of myself

OpenStudy (khantahmina):

anyways I think u should got o sleep now its almost 3am for u. so good night ill figure it out myself. Thanks for ur help. SALAM!

OpenStudy (3mar):

No. I won't sleep until we finish this prob.

OpenStudy (3mar):

Please concentrate!

OpenStudy (3mar):

@khantahmina

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