Calculus (pleas help I really need to check this)
posted by Catherine
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...

Reiny
a) 6
b) 1/4
c) 1/2 
Ralph
a) 6
b)  1/4
c) 1/2 = square root of t is
1/2(square root of t) 
Catherine
Thank you very much for the clarification, could you explain to me how you got 1/2 in c please??

Reiny
s(t) = √t = t(1/2)
s '(t) = (1/2)t^(1/2) = 1/(2√t)
s '(1) = 1/(2√1) = 1/2 
Catherine
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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