Mth 272
Your 'test taken' report has been received. Scroll down through the document to see any comments I might have inserted, and my final comment at the end.
** Which test? **
I have re-taken the Chapter 5 test at Blue Ridge Community College Learning Assistance Center in hopes of getting a better grade. Test taken 11/11/08
** When, where etc? **
U.S. Mail
** Optional additional comments and/or questions: **
You can take another version of any test at any time, and though you're doing fine I encourage you to do so if you wish. The higher grade is the one I count.
Email me in a couple of days to verify that I have your test. and get your grade.
"Submitting Assignment" "mth174" "●●●●●●●●●" "●●●●●●●●●" "Dillon" "Breeding" "" "dwb2199@email.vccs.edu" "" "A ball is dropped from a height of 10 feet. Each bounce is 3/4 of the height of the bounce before.
A.) Find an expression for the height to which the ball rises after it hits the floor for the nth time.
= 10(3/4)^n
B.) Find an expression for the total vertical distance the ball has traveled when it hits the floor for the nth time.
a= 10, x= 3/4
so: 10(1-3/4 ^ n) / (1-3/4)= 40(1-(3/4)^n)
Show that a ball dropped from a height h feet reaches the ground in 1/4sqrt' h
h=1/2(32ft/sec^2)t^2
t^2= h/16 , t= 1/4sqrt'h
b.) show that the ball in problem 28 stops bouncing after
11 seconds (about equal to) (1/4sqrt10 + 1/2 sqrt10 *sqrt[3/4 (1/ (1-sqrt'3/4) ]
This is where I was confused on, showing that the ball will stop bouncing after 11 seconds. Would we need to continue out the series until we reach a bounce that is returning close to zero, since, in theory, it will continue to go on forever?
The times form a geometric sequence with common ratio less than 1, and an entire geometric sequence can be summed. The sum is 1 / (1 - r).
If you tell me the assignment number I can send you a complete solution to this problem.
31) this problem deals with the question of estimating the cumulative effect of tax cuts; basically, a tax cut of 100 million will yield a return back in the economy of 80%, since given the information provided, people save 20% and spend 80%. The question asks you to calculate the total additional spending created by such a tax cut. Its seems likely to use the equation s= a/1-x, with a= 100 million and x= .80, yet my answer came out to 500 million; the book's was 400 million. Where is my error?
The geometric series does total 500 million. The book is probably subtracting the original 100 million from the total.
I have some more physics questions, but my book isn't with me right now, so I will try to submit those sometime tomorrow night. I took my physics test, one problem gave me a bit of confusion and another. I can retake it easily, but if I made 90 or above I won't. Basically, I just had trouble understanding what way the pulley was position; it involved a cart with a mass attached to it and then suspended over the pulley. My visualizations skills didn't prove to adept. "