Blog #2 Instantaneous Rate of Change
a. The real life example I chose has to do with the speed of the Ferrari F12 Barlinetta.
b. The table bellow shows the speed of the car at a given time, which in this case is measured in seconds. The question is what would the speed of the Ferrari be at a specific time, lets say at t=7sec
| c. Time (sec) |
0 | 3 | 4.3 | 8.8 | 13.9 |
| Speed (Kph) | 0 | 100 | 130 | 200 | 250 |
d.
e. Points to find the ARC:
(4.3, 130), (8.8, 200)
ARC = 200 - 130 / 8.8 - 4.3 = 15.55
f.
g. To find the instantaneous rate of change, we take the formula:
(4.3, 130) (7, 180)
IRC = 200 - 180 / 7 - 4.3 = 7.40
h. The conclusion of this experiment is that as time increases, the change in the speed of the Ferrari will become smaller and smaller, which is explained by the steeper slope of the graph and also the slope of the tangent line. Given the above information we can determine the sped of the car at any instant of time.
This is a great example to show the instantaneous rate of change. I liked how for Part G you clearly stated what formula you were using to find the IRC.
ReplyDeleteI like the example. Great explanations and showed all your work efficiently
ReplyDeleteVery nice. I really like how you use Ferrari in your work and how one can conclude that there is a relationship in which the speed of the car goes down while time passes. I really enjoyed it.
ReplyDeleteparis,
ReplyDeletenice graphic of the car! definitely grabbed my attention and enticed me to read more! your table and your first graph look good. however, you only did one secant line calculation and you were supposed to do three. :/ to find the IRC, you were supposed to draw a tangent line at the point t = 7 (as you stated in the beginning) and calculate the slope.
i was a little confused that you stated that you would calculate the acceleration at t = 7 seconds, but your secant calculation was for t = 8.8. so, your data is kind of conflicting with the statement you made at first.
it was a nice read, but make sure you understand the errors and let me know if you have any questions.
professor little