# Calculus (pleas help I really need to check this)

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...

1. a) -6
b) -1/4
c) 1/2

posted by Reiny
2. a) -6
b) - 1/4
c) 1/2 = square root of t is
1/2(square root of t)

posted by Ralph
3. Thank you very much for the clarification, could you explain to me how you got 1/2 in c please??

posted by Catherine
4. s(t) = √t = t(1/2)
s '(t) = (1/2)t^(-1/2) = 1/(2√t)
s '(1) = 1/(2√1) = 1/2

posted by Reiny
5. 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....

posted by Catherine

## Similar Questions

1. ### Calculus

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)

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
3. ### Calculus

An object at rest begins moving horizontally on the x-axis, starting at position x(t) = 0 feet at time t = 0 seconds.Suppose, after exactly 2 seconds we measure the position of the object to be 3 feet to the right of the origin

An object at rest begins moving horizontally on the x-axis, starting at position x(t) = 0 feet at time t = 0 seconds.Suppose, after exactly 2 seconds we measure the position of the object to be 3 feet to the right of the origin
5. ### Math

An object at rest begins moving horizontally on the x-axis, starting at position x(t) = 0 feet at time t = 0 seconds.Suppose, after exactly 2 seconds we measure the position of the object to be 3 feet to the right of the origin

An object at rest begins moving horizontally on the x-axis, starting at position x(t) = 0 feet at time t = 0 seconds.Suppose, after exactly 2 seconds we measure the position of the object to be 3 feet to the right of the origin
7. ### Big MATH Help needed

An object at rest begins moving horizontally on the x-axis, starting at position x(t) = 0 feet at time t = 0 seconds.Suppose, after exactly 2 seconds we measure the position of the object to be 3 feet to the right of the origin
8. ### Calculus

An object is traveling along the x axis so that its speed is given by v(t)=t^2-7t+10 m/s. (a) Find the times when the object is at rest. (b) Find the acceleration at both of these times. Interpret the acceleration in terms of the
9. ### Calculus

An object is traveling along the x axis so that its speed is given by v(t)=t^2-7t+10 m/s. (a) Find the times when the object is at rest. (b) Find the acceleration at both of these times. Interpret the acceleration in terms of the
10. ### science

the ratio of velocities of two object a and b is 1:3. if the position-time graph of object a is inclined to time axis at 30degree then the position-time graph of object b is inclined to time axis at

More Similar Questions