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Mathematics 22 Online
OpenStudy (anonymous):

The position of an object at time t is given by s(t) = 1 - 10t. Find the instantaneous velocity at t = 10 by finding the derivative.

OpenStudy (anonymous):

@Psymon

OpenStudy (anonymous):

P.S. thanks for the help earlier in the message, i just got done reading it

OpenStudy (psymon):

Ah, cool. Hope that makes sense. It makes those go by really fast :P

OpenStudy (psymon):

Well, just as a general rule, the derivative of position is velocity, and the derivative of velocity is acceleration. So yeah, this is an awkward case, but what do you get when you take the derivative?

OpenStudy (anonymous):

im not sure how to do this one at all

OpenStudy (psymon):

Yeah, it seems kinda weird. Well, it tells you in the question to find it by taking the derivative. So if you do that, what do you have?

OpenStudy (anonymous):

ummmmmm.... 9

OpenStudy (psymon):

-9

OpenStudy (anonymous):

oh really? i was close, that was a ballpark guess, thats awesome, i keep getting the negatives and positives switched

OpenStudy (psymon):

But as you notice, there's no t. It says when t = 10, but there's no t :o This means the velocity is constant and is the same regardless of the time :P So the velocity is just -9.

OpenStudy (anonymous):

awesome

OpenStudy (psymon):

Yeah xD It's a weird case where they're probably just testing your understanding as opposed to giving you some super hard question.

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