Blog 2
Part a:A. Find a real world application OR design your own experimental application relating to rates of change. (in the blog folder you will find plenty of examples to get you started)
How far does a ball travel in a certain amount of seconds
B. Write a narrative or synopsis explaining your application/experiment and include a question. (for example, what is the velocity of the snowball at exactly 2 seconds? Or how can I find the velocity of the baseball at exactly 3 seconds?)What is the rate of change of the distance the ball has traveled at 8 seconds?C. Create a table of values for the data that you have recorded from your application/experiment.
D.
E. The slopes at the three points calculated in the first picture show that the line gets flatter as time goes on meaning the ball is slowing down.
F.
G. Finding the slope of line (PQ):
(160-120) / (8 - 4.8) = 12.5
The ball is moving about 12.5 feet per second.
H. As the secant line approaches x=8 the slope of the lines gets smaller meaning its approaching the tangent line.
I like how you broke it up step by step, I think you did a really good job!
ReplyDeleteYou summed everything up with great efficiency. Your math makes sense, and supports the idea that the ball slows down as time increases.
ReplyDeleteGreat example on showing how you would use derivative to figure out the rate of change the ball has traveled. However, I feel like more clarification has to be made in terms of the 18.33 feet per second.
ReplyDeletestacey,
ReplyDeletenice topic and well organized post. your graphs look good as does your table of values. as far as your calculations go, you did a good job with your secant calculations, but you forgot to include the units. also, your question matches your experiment data, and that is good!
your tangent line calculation is smaller than your closest secant line calculation so that does affect how you would interpret your IRC results, as the value should probably be closer to 10 and not between 10 and 16. nevertheless, the calculation itself was done correctly.
all in all, you did a nice job. =]
professor little