February 26, 2017

Homework Help: Calculus Please Help

Posted by Catherine on Thursday, February 17, 2011 at 10:25pm.

Hello I'm reposting this question because right now it's at the bottom and I don't think I will get an answer.

Assume that the follwing function gives the position of an object at time t. Find the velocity indicated by setting up and evaluating a limt algebraically.
s(t) = ãt, Find v(1).

I know that the answer is 1/2 because
s(t) = ãt = t(1/2)
s '(t) = (1/2)t^(-1/2) = 1/(2ãt)
s '(1) = 1/(2ã1) = 1/2

But I can't get the answer by evaluating the limit algebraically.. can someone please show me the procedure?

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