A. How much air is released from football over a period of
time.(time vs. volume) (This is called the New England experiment)
B. Every quarter of
the football game, the pressure of the football decreases, What is the pressure
of the football halfway through the 2nd quarter?
|
QUARTER
|
PRESSURE
OF THE FOOTBALL
|
|
1ST quarter
|
13
psi
|
|
2ND quarter
|
12
psi
|
|
3RD
quarter
|
11
psi
|
C
|
4TH quarter
|
10 psi
|
Such a great experiment that you came up with. Very interesting and you kept it concise. I have a question though, and please correct me if I am wrong, but I was thinking that the line you have drawn seems to represent a secant line instead of a tangent line ( tangent line is almost next to that one point you have chosen). I am not sure if this is correct, but just a thought I had.
ReplyDeleteIt's cool to see this type of situation worked out in this manner! I also have the same question as Amy!
ReplyDeleteI believe you are right, thank you for adressing my mistake! Now i will know for the future, thanks!
ReplyDeleteThis is such an interesting thing to do.... Its really interesting I also like the sports theme.
ReplyDeleteThis is an awesome application, and really relevant given the recent deflation scandal in the NFL.
ReplyDeletesee? even scandals can be turned in math fun! =]
Deleteprofessor little
Really cool example, the fact that you thought of your own real life example shows that you know what you're doing and can apply it to real life situations on your own.
ReplyDeleteseth,
ReplyDeleteahahahahahaha! i love your intro and the title of your experiment. argh, the pats!
your graph looks good as does your table, but your secant calculations should have negative values and you should have had a calculation from t = 2 to t =4 instead of t = 3 to t =4. all of the secant calculations should originate from the point of interest, which you stated to be the 2nd quarter, so t = 2. additionally, you question probably should have been more like "at what rate is the ball deflating during the second quarter or at what rate is pressure being released?" since the IRC deals with rates of change.
really fun read, though!
professor little