Posted by Catherine on Thursday, February 17, 2011 at 7:24pm.
Assume that each of the follwing functions gives the position of an object at time t. Find the velocities indicated by setting up and evaluating a limt algebraically.
(a) s(t) = 3t^2, Find v(1).
(b) s(t) = 1/t , Find v(2).
(c) s(t) = square root of t, Find v(1).
The answers that I got were the following...
a)3
b)1/2
c)1
I did them another way and the answers I got were
a)6
b) (1/4)
c) I didn't really get any answers here.
Please tell me which answers are right or if any of them are right...

Calculus (pleas help I really need to check this)  Reiny, Thursday, February 17, 2011 at 7:51pm
a) 6
b) 1/4
c) 1/2

Calculus (pleas help I really need to check this)  Ralph, Thursday, February 17, 2011 at 7:52pm
a) 6
b)  1/4
c) 1/2 = square root of t is
1/2(square root of t)

Calculus (pleas help I really need to check this)  Catherine, Thursday, February 17, 2011 at 8:07pm
Thank you very much for the clarification, could you explain to me how you got 1/2 in c please??

Calculus (pleas help I really need to check this)  Reiny, Thursday, February 17, 2011 at 8:20pm
s(t) = √t = t(1/2)
s '(t) = (1/2)t^(1/2) = 1/(2√t)
s '(1) = 1/(2√1) = 1/2

Calculus (pleas help I really need to check this)  Catherine, Thursday, February 17, 2011 at 9:44pm
Could you please tell me how to do it evaluating the limt algebraically? I'm trying to do it and I can't get it....
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