Thursday

March 26, 2015

March 26, 2015

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) = t, Find v(1).

I know that the answer is 1/2 because

s(t) = t = t(1/2)

s '(t) = (1/2)t^(-1/2) = 1/(2t)

s '(1) = 1/(21) = 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

**Answer this Question**

**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 ...

Math/ Calculus Please HELP!!! - An object at rest begins moving horizontally on ...

MATH please help - An object at rest begins moving horizontally on the x-axis, ...

Calculus - An object at rest begins moving horizontally on the x-axis, starting ...

Math - An object at rest begins moving horizontally on the x-axis, starting at ...

Big MATH Help needed - An object at rest begins moving horizontally on the x-...

Calculus - Use the position function s(t)=-4.9t^2+ 150, which gives the height (...

Physics - A 2.00-kg object is hanging on a 1.1m string. The object is pulled ...

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