1.25.13

1.25.13

We began by putting IW#4, arguably the easiest IW to date, on our desks to begin class. OB had the class look at the answers via computer, and then led the class in a rousing discussion about the IW.

We noted the use of the I.V.T when looking at when the particle is at rest in question 2, on example 1 of the IW. This is the kind of calculus reasoning we can use of the AP test.

Using fitPoly in Geogebra you can take a table as seen in example 1 and make a list of points and draw a function through all of them to show you what type of polynomial the function is. 

However, some of the time you wont have the entire function and you just have the values from the table. Then finding the slope can be done by finding acceleration, given a v(t) chart, since a(t) is v’(t).

For number 3 on the IW, Noah remembered the Symmetric Difference Quotient, which is just nDeriv. Taking a point on either side and calculating the slope off the line from point to point. OB pointed out than units for acceleration come from the fact that  which gives you units of , Which is . So in terms of motion, if the acceleration -1/2, the particle is slowing down at that point.

Using a graph we can see 4 places where the graph changes from increasing to decreasing, meaning there is 4 places where acceleration is zero, since acceleration is the derivative of velocity. 

OB asked if a function is differentiable, must its derivative be differentiable. He shockingly answered “no”. He said there was extra credit for everyone except Eliot if they found an example of this. 

The second page had little confusion and the answers can be seen on the Even Answers page of the blog. Its's important to note that a table only gets us so far OB says, you have to look at an instant in time to really tell.

SURPRISE! Quiz tuesday! YAAAAY! What a treat!

LEAP FROG TIME. SOLIDIFY THOSE BASICS. BLOW MINDS. LEAP FROGS. IW#5. CONFUSION. SPEED.

The goal for the leap frog game is to make us leave confused about speed. I suppose it was successful, since the game was quite easy in general, and then only questions people seemed to be confused on were when it asked about speed instead of velocity.