Calculus Help

[Windscarredfaith]

THIS THREAD IS USELESS NOW UNLESS YOU SOMEHOW HAVE THE SAME QUESTIONS AS THESE.
I thank all the people who attempted and took time to help me out. <33 You guys are the best. ^^

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M'kay. So my teacher Mr. Furry (his real name, I'm not kidding) just gave my class and I some questions that we didn't even learn. =/ It's due tonight at 11:55 PM EST... so, if you have some time (or if you are extremely bored), please help! I have NO idea how to do these. Lol. Any help is appreciated. (I'm in high school, btw.) Thanks in advance.

Here are the questions that I don't know how to do:

1. The area of a square with sides of length s is given by A = s2. Find the rate of change of the area with respect to s when s = 5 meters.
Answer is in meters^2. And it is not 25.

2. Consider the following function.
f(t) = 6t^2 - 4
(a) Find the average rate of change of the function below over the interval [5, 5.1].
Answer is not the average of the numbers plugged in...
(b) Compare this average rate of change with the instantaneous rates of change at the endpoints of the interval.
Answer will have one at t=5 and another with t=5.1

3. Use the position function -16t^2 + vot + so for free-falling objects.
(a) A ball is thrown straight down from the top of a 240 foot building with an inital velocity of -25 feet per second. What is its velocity after 5 seconds?
Answer is in ft/sec.
(b) What is its velocity after falling 103 feet?
Answer is also in ft/sec.

4. Find k such that the line y = 5x + 6 is tangent to the graph of the function below. y=k*sqrt(x)
Answer is what k equals.

5. The tangent line to the graph of y = h(x) at the point (-7, 6) that passes through the point (2, 8). Find the following values.
(a) h(-7)
(b) h '(-7)

6. (Use the position function -4.9t^2 + vot + so for free-falling objects.) To estimate the height of a building, a stone is dropped from the top of the building into a pool of water at ground level. How high is the building if the splash is seen 5.2 seconds after the stone is dropped?

-- Edit

Answer for 1 is 10.

-- Edit #2

Answer is 60.6, 60, and 61.2 respectfully.

-- Edit #3

Disregard #3. I maxed out my submissions for the question. xD
3a was -185 though.

-- Edit #4
Answer is 11. I BSed that one.

-- Edit #5
Answer to part 2 is 2/9. Maxed out submissions for part 1, so disregard this question now.
And... YAY ONLY #6 LEFT!

-- Edit #6
Answer is 132.496.