Thursday

August 21, 2014

August 21, 2014

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

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) = ăt, Find v(1).

I know that the answer is 1/2 because

s(t) = ăt = t(1/2)

s '(t) = (1/2)t^(-1/2) = 1/(2ăt)

s '(1) = 1/(2ă1) = 1/2

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

- Calculus Please Help -
**Reiny**, Thursday, February 17, 2011 at 11:03pmlet s(t) = √t

then

derivative = Limit (√(1+h) - √1)/h as h --> 0

= Lim (√(1+h) - √1)/h * (√(1+h) + 1)/(√(1+h) + 1)

= lim (1+h - 1)/(h(√(1+h) + 1))

= lim h/(h(√(1+h) + 1))

= lim 1/(√(1+h) + 1) , as h --> (in each line above)

= 1/(√1 + 1) = 1/2

**Related Questions**

Calculus - Assume that each of the follwing functions gives the position of an ...

Calculus (pleas help I really need to check this) - Assume that each of the ...

chemistry - Please let me know if my answer to the following question is correct...

science - Okay, Ms. Sue. I got this and I don't think that it is right. this is ...

Calc- Urgent Please - An open box (has a bottom but no top) needs to be ...

Quadratic equations- word problem - The question is- Akis Bicycle Designs has ...

Physics - 1. Question: Consider two planets with uniform mass distributions. The...

Social Studies -- Merisa - I've reposted your question because it was posted as ...

English - 1. Imagine it is lunch time now. 2. Imagine it is a lunch time now. (...

Math - Hello, I need to know if I have the right answers to these questions. 2x-...