Sunday, February 22, 2015
Term 2 Project Discussion
This board is for posting comments and questions on other group's
projects. See the link in the project handout for the project
webpages. Be constructive in your feedback, and as always, be
respectful! You are required to comment on at least 3 other group's
projects. Include your name at the end of your post for credit.
Deadline for submitting comments is Friday, March 13, 2015.
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Yo-yo
ReplyDeleteI like how original and well executed the idea for the project was. Kris is good at yoyo-ing. I wasn't entirely sure what to make of the graphical analysis, but the parametric equations were well done and easy to understand. They also mathed well in spite of some ugly numbers.
Jack Dolan
Chris and Jessica Ice
ReplyDeleteThis was a good real life example of a ton of problems we had to do in calc. The angle of the video made it difficult to tell the relative velocities of the skaters. Maybe a side view and a view from behind or the front would have helped. Other than that, it made sense. Good use of the ice to keep velocity more constant throughout the video.
Jack Dolan
Amira and Angela Swing
ReplyDeleteI'm bummed I didn't get to see the video, but I think most people can imagine someone swinging anyway. They made good use of the video to find angles for the limits of an integral, and they used a good variety of ways to describe the motion: arc length, position function using an integral, and vectors.
Jack Dolan
Sophia and Kai Tire Swing
ReplyDeleteI liked how you guys used the separate dx/dt and dy/dt to find the velocity of the swing at t=1. It would have been cool to see a video. The character description was also pretty funny. Very good work overall.
Jalen
Chris and Jess
ReplyDeleteThe motion you used was very creative and must have been difficult to measure. The description of the motion was very well done. The optimization problem was interesting and clearly explained. The graph provided a helpful visual.
Jalen
Angela, Maggie and Jack
ReplyDeleteThe skating really differentiated your motion from other groups. The character description was interesting to say the least. All of the calculus appeared well done and accurate. I liked how there were two different video perspectives. The maximum acceleration (optimization) was very creative.
Jalen Zeman
Katie W. & Daniel H. Ring Toss
ReplyDeleteThe video of your motion was well done - Katie I'm so proud of you for catching the ring :) The character description was very thorough and detailed. I appreciate how specific you described how Ringo would feel, even noting the amount of times he would feel light/heavy and the amount of time for each sensation. The data fit the curves extremely well in you graphical analysis.
Jenna Weed
Matt M. and Chris C. Elliptical
ReplyDeleteI love how Usain Bolt makes an appearance in your character description. The mathematical support was a nice bonus in that description and seemed accurate. The graphs turned out beautifully, and I am impressed with how closely your data points fit the curve. The three calculus applications were easy to follow and made sense.
Jenna Weed
Julia B. and Marie S. Skipping
ReplyDeleteI really like the "skipping" idea as your motion. It seems so simple yet it is still such a great application of calculus. I appreciate the intricate character description - very thorough. I also like how both perspectives (side and back) had differential equations worked out. I'm really glad one of your calculus applications was finding the time of his maximum height. That application can come in handy for athletes working on their vertical jump or calisthenics. You're so lucky to have a brother who is willing to help with your project! He skipped like a pro!
Jenna Weed
Jenna and Jalen Clementine
ReplyDeleteGood job guys! I like your related rates problem about the juice leaking from the clementine. It was a very good idea to include two dots on the clementine so the dot can be seen from both perspectives (front and side). Your description of the motion is very thorough, especially the part about how the normal will change. Another related rates problem you could have done is having the peeler peel the orange at a specific rate and see how long it would take to peel the whole thing. Creative idea and very well put together!
~Katie Weitzel
Sophia and Kai Tire Swing
ReplyDeleteI like the reason why you chose the tire swing as your motion (because Kai liked it), it made me laugh. It was interesting that you included the centripetal pull in the description because I totally forgot about that force. I also liked how you had problems using just y(t) instead of both x and y so I could really see how height was being affected. Good job!
~Katie Weitzel
Amira and Angela Swinging
ReplyDeleteNice job! Maybe I missed it or it didn't show up on my computer, but I wish you would have had a video. Talia is adorable and I wanted to see her swinging with you guys! I like how you included little diagrams in your work so it was easy to follow along. Your description of motion is very detailed, especially the part where it talks about the max velocity. A cool problem you could have included is, if Talia jumped off the swing, how fast would she be going and how far would she go. That might be a little hard, but it would have been cool to calculate where she would land. Good job and very neat work!
~Katie Weitzel
Eva and Marie's tire swing
ReplyDeleteNice job. you guys had a very nice clear presentation. I was unable to watch the video, but your graphs and descriptions made up for what was missing.
Aliyah McIlwain
Eva and Maria sorry!
ReplyDeleteGwen and Julia's swing set
ReplyDeleteGreat presentation! Your graphs and descriptions were clear and detailed. The calculus was easy to follow and made sense.
Aliyah McIlwain
Frankie, Alex, and Marta's soccer kick
ReplyDeleteNice job. Your description was just a little confusing and hard to follow. For your equations it may have been easier or more beneficial to only use the data while the ball was actually moving. You may have gotten a better fit not including the constant data.
Aliyah McIlwain
Nick and Matt's swing
ReplyDeleteWe did a swing too! You guys had similar data as ours, as far as the shapes of the graphs, so that means that we are both pretty accurate with measurement. The math was super easy to follow too. I wish we would have thought of taking the magnitude of the v vector, that was cool. P.S. Nice swinging Nick.
Julia T
Angela S, Maggie and Jack D Skating Spin
ReplyDeleteNice job! The character description of the "tiny unicorn named Andrew" is funny and it actually uses really good math/science vocabulary like "due to the centripetal acceleration". You're topic was also really fun too. I'm impressed with your work to find the max acceleration. It looks really involved so nice work.
Julia T
Paul and Anne's Spinning coin
ReplyDeleteNice job you guys! You're graphs are all over the place! I couldn't watch the videos, but I'm wondering if the camera was held steadily? That might make the the graphs more smoother and more accurate. It's cool that you guys did the optimization problem; not many people attempted that. It was easy to follow and clearly labeled. Solid work you two!
Julia T
Jenna and Jalen,
ReplyDeleteYour motion was quite creative and I liked how your related rates found the rate at which juice leaked from the clementine. Although some of the work was difficult to follow it seems like solid stuff. Btw, did you put graphs on your work page? I couldn't seem to find them
Sarah Fried
Laura, Lex and Amanda,
ReplyDeleteWow guys, this was just beautiful work. The color coding was very pleasing to the eyes and everything from the graphs to the work was very neat. Laura, your tour jete was executed perfectly, would you mind showing me how to do that sometime? I also like how you found the max vertical position, it's an important thing to know.
Sarah Fried
Fritz and Cam,
ReplyDeleteWonderful job you two, your work was very easy to follow. I believe that for differential equations you're supposed to show how you found "C," but maybe it's there and I'm just not seeing it. I like that you chose an optimization problem, because many people may not have chosen that.
Sarah Fried
Amanda, Laura & Lexi
ReplyDeleteI loved your choice of motion, Laura you are quite the dancer! After reading the description it makes sense that you needed to use three different functions for your vertical component. Overall nice job, I appreciate how neat your work is too!
Rachel Hersch
Frankie, Alex & Marta
ReplyDeleteYour project was very interesting to look through. My group used a motion with a soccer ball as well. However, we were unable to get two different angles. It’s interesting to see how the graphs differed in each view. Nice work!
Rachel Hersch
Abby & Safia
ReplyDeleteWow, great job on your project! I think it’s cute that you used a dragon as your character. I also liked that you used a rotating object and related rates. It’s interesting to see the exact rate of change in both the x and y direction at a given time.
Rachel Hersch
Marie and Julia
ReplyDeleteI like how you described henry's motion so specifically. Your math colorful and easy to follow. Unfortunately i wasn't able to view your graphs (not sure why), but either way very nice presentation!
Eva A-L
Aliyah and J'Laan
ReplyDeleteNice job matching the graph! The data doesn't make that look like an easy task. Your math is neat and complete, but I wish you had put a little more detail into the character description with when Jay feels heavy and why.
Eva A-L
Safia and Abby
ReplyDeleteI like your choice of motion, it seems very clean and uniform when graphed. Your math looks good, but when reading your character description i noticed that yes as you said centripetal acceleration points towards the center of the circle, but that means that it points up at the bottom, and down with weight at the top...i think you might have just got mixed up when typing. Also at the end you say that centripetal force is perpendicular to mg, but this is only true at the horizontal points. Besides that though very nice job. I liked the creativity of the character description!
Eva A-L
Laura G, Lexi, Amanda B
ReplyDeleteFilming Laura dancing was a very creative idea for your project! It was interesting to see that your horizontal component graph utilized a cubic function as its best fit; ours only ever worked best with trigonometric functions. In the vertical component graph, it’s cool to see the use of parametric equations for the different pieces of the tour jete, since I feel used to looking at graphs that aren’t broken down into segments. I also liked that you talked about the forces and pressure that Laura is feeling in relation to the actual technique she has to use as a dancer in your motion description.
Amira
Daniel and Katie W
ReplyDeleteYour video was very clean! The toss came across the camera very clearly, so it was easy to see the motion of your object. It was easy to correlate the graphs of Time v. Distance and Time v. Height with the toss in the video; they paralleled the shape of the toss. The graph following a point on the ring was a really interesting shape, so I’m curious as to how you found the line of best fit/what the parent function of the best fit line is. I was a little unsure what the third graph’s Y-axis label was, though.
Amira
Kelsey
ReplyDeleteI liked your idea for your project a lot! The record was unique. The first graph is very impressive, because it was so cleanly fit to the best fit curve. The graphs seem to accurately show the motion of the record, because they move in a cyclic, wavelike pattern. Your character description was very cute, and I thought that it creatively conveyed the motion you were describing.
Amira
Rafey and Daniel O Project
ReplyDeleteI was really impressed by the fact that you used so many different trials for your project. When I first read that your project was on a ball rolling I thought it was pretty simple but I really liked the fact that you incorporated many different variables into all the different trials. I also liked that you included graphs for each trial and that you included data tables so I could actually see all the values.
William S
Amira and Angela Project
ReplyDeleteI thought that your description of how someone undergoing the motion was very good. I found it very clear and understandable. I also thought that it was really cool that you brought in polar equations to your calculus when you used polar calculus to find the arc length of your graph.
William S
Julia B and Marie S Project
ReplyDeleteI thought that it was great that you picked a human motion because many groups (including myself) followed the motion of an object. I think that it makes the calculus even more impressive because an organic motion is very difficult to track. I think that your optimization of height was a very smart idea that really incorporated a lot of stuff we have done in class this year, like finding critical points and relative minimums and maximums.
William S
Chris and Jessica,
ReplyDeleteGreat job on the project! I really enjoyed the usage of related rates! The graph looks good and all the work is concise and easy to follow. The character description is particularly good. I am curious to see how the calculations would have worked out had you incorporated Newton's Second Law as the differential.
Rafey Rehman
Daniel and Katie
ReplyDeleteGreat job on your video and on your graphs. The data fit the curves of your graph almost perfectly! Your calculus was very clear to follow and very nicely organized. I like how the graphs matched the motion of the toss. It made it a lot easier to understand. Nice work!
Lexi Kizy
Sarah and Emma
ReplyDeleteWow guys, great idea for the project! I really like that you guys had two different angles from the movement of the lacrosse stick. It was cool to see the comparison of the front view graphs with the side view graphs. Plus your math was very neat and easy to follow.
Lexi Kizy
Allison, Rachel and Julia
ReplyDeleteNice work on your project! It was very interesting to go through your work and see the graph of the rainbow. Your work was very easy to follow and nicely organized. The calculus was very detailed and made sense even to me! Great work guys and I can’t wait for you to teach me that at soccer Rachel!
Lexi Kizy
Nick and Matt,
ReplyDeleteNice work on the project!! Your data is so good! The graphs don't have many discrepancies, and the corresponding work of the definite integral and parametric function is good. I really enjoyed the character description of Mr. Potato. It was quite amusing.
Rafey Rehman
Will and Michael,
ReplyDeleteGreat job on the project guys! I enjoyed how you showed your work when solving the parametric function and the differential equation. The data is good; it clearly shows the simple harmonic motion at play. I also enjoyed how in-depth the character description was.
Rafey Rehman
Nick and Matt,
ReplyDeleteI liked the fact that you slowed down the video so you could tell what was happening in the graph at the same time. Your graphs were very clean and the math seemed easy and simple to follow. Great job guys!
Julia Dickerson
Jalen and Jenna,
ReplyDeleteNice work! I thought that it was really interesting how you tied in related rates with the clementine and the rotating apple peeler. I didn’t see any graphs on the page, but your math was easy to follow.
Julia Dickerson
Kris and Ethan,
ReplyDeleteThe yo-yo as your object of motion was a great idea! I thought your character’s name was funny, and your equations matched well with your graph.
Julia Dickerson
Aliyah and J'Laan,
ReplyDeleteYour video was really neat to watch. Wow, J'Laan, you are very talented! I really liked your use of an optimization problem, as it's interesting to know at which point in the jump you are moving fastest. Perhaps you could have incorporated some of this into your character description, indicating where velocity and acceleration are at minimums and maximums. Your graphs and math look really good! Nice work!
Safia Sayed
Allison, Rachel, Julia
ReplyDeleteGreat work! The rainbow was really impressive (great job Rachel) and a great idea for this project. Your calculus was very neat and organized, as well as easy to follow.
Amanda Bachand
Ethan A and Kristopher M,
ReplyDeleteWe analyzed the motion of a yo-yo, too, but we rotated it in a circle. Your project was interesting since it analyzed the more typical motion of a yo-yo. Great job being super thorough and including all your data and analysis in your project. I liked that you used forces to explain your character description, and I liked your character's name. Nice job with all your calculus applications. It might have been helpful explain what each math solution means in the context of your motion. Overall, great job on this project!
Safia Sayed
Jenna and Jalen
ReplyDeleteSolid project guys! I really liked how you included two videos of the clementine from different perspectives to make the motion of Mocha easier to visualize. Your calculus was easy to follow, but it would have been nice to see the graphs.
Amanda Bachand
Daniel and Katie W
ReplyDeleteYour video was done very well- the entire motion was clear and it was easy to see the path Ringo followed. Your data fit the curves almost exactly and your calculus was very neat and extremely easy to follow.
Amanda Bachand
Sarah and Emma,
ReplyDeleteI really liked your project! I thought it was very interesting to be able to see the two different perspectives of the video. I also thought it was nice to see how well the cubic and sine functions matched up to your motion. Your project was organized and extremely easy to understand!
-Laura G
Allison, Rachel, Julia,
ReplyDeleteI thought the motion with the soccer ball that you chose was very fun and unique! The description was very detailed and well done. I also liked how you incorporated an explanation of why you might have had some error in your calculations. Overall, you did an excellent job!
-Laura G
Daniel and Katie,
ReplyDeleteNice work guys! The equations for the graphs of your motions fit very nicely. I think you did a really good job explaining the motion of the character too. Your calculus applications were very organized and easy to follow as well. I liked how you incorporated parametric equations to solve for distance!
-Laura G
Kelsey,
ReplyDeleteWhat a unique idea to analyze the motion of a record! Additionally, you could apply your analysis to lots of other things that rotate in circles, like carousels. Your character description was very fun, and it does a great job explaining centripetal force as center-seeking. Nice work on all your calculus. I especially liked how you calculated how far a point on the record would travel. Great job!
Safia Sayed
Sophia and Kai
ReplyDeleteNIce idea for the tire swing! Your work was very neat and easy to follow. I thought it was only going to be a back and forth motion, but the addition of circular motion was an interesting application as well. Great job!
Angela Peters
Kelsey
ReplyDeleteI love that you chose to do a record- even better, you got data for two different points. That offers a great way to compare different angular and tangential quantities of each point. Good motion description. I can tell that you got really good data from how great your graphs looked. Overall, awesome job!
Angela Peters
Colin Slon Asteroid
ReplyDeleteYour project was so thorough and organized! It was really easy to understand, even though some of the concepts were complex, like the angle E- you explained them very well. It's cool that you used a computer program to simulate the motion, as you can't really do a real asteroid. Even though the equations worked out, there were a lot of good concepts involved in your work, like Kepler's Laws. Great job!
Angela P
Maggie, Angela, Jack
ReplyDeleteYour project was well organized and easy to follow. The character description was clear and to the point. Your graphs looked good and were set to a well fitting scale. Unfortunately I wasn't able to view your videos, probably computer issues, but I saw it was there. Your calculations were set up nicely and easy to follow step-by-step.
Good Job!
Julia Berthel and Marie Suehrer
Aliyah and J'Laan
ReplyDeleteYour project had great organization to it. I liked how you separated the different problems with a certain color, it made very easy to follow the steps and the math. You had the graphs, for both, the y and x component, vs time and the video. Maybe the character description could have included something about the way the forces act. You said she feels weightless at the top, but maybe you could have included as she is jumping up and then as she is falling down onto the mat.
Other than that, good work!
Julia Berthel and Marie Suehrer
Matt C and Nick B,
ReplyDeleteNice job with the project! I liked that you guys used a slow motion video, it made your data very accurate and gave you some nice looking graphs. The character description was good. All of your calculus applications were easy to follow and used logical steps. The parametric problem in particular was a good application. (Nice handwriting by the way.) Overall, great job!
Matthew MacMichael
Jenna and Jalen,
ReplyDeleteI liked how you recorded the motion of a clementine on a peeler. Unique idea. Your equations and description of motion seemed accurate. I really liked how you guys incorporated a related rates problem into the motion. I was able to follow along with all of the problems well and they were all organized well. Nice job!
Matthew MacMichael
Michael B and William S,
ReplyDeleteA spinning dreidel was a cool thing to measure. The graphs and equations looked nice, if anything, it would have been nice to see your data points on the graph. I really liked your description of motion, it was very thorough and informative. All you your calculus problems were set up well and were step-by-step, making it easy to follow. Great stuff overall.
Matthew MacMichael
Rafey R and Daniel O,
ReplyDeleteI liked how you had 5 different trials for your project. I liked how you presented us with a graph, as well as a table of values, for each trial.
Matt Cardenas
Will B and Ethan C,
ReplyDeleteI liked how your video was in slow motion so that we could see the simple harmonic motion of the string being plucked. Your graph and equations were easy to follow and the character description of Eugene Simon was very amusing.
Matt Cardenas
William S and Michael B,
ReplyDeleteYour idea of spinning a dreidel was very unique and interesting. Your equations were very thorough and easy to follow. Although, I wish you guys had a table of values alongside your two graphs, but besides that, great job!
Matt Cardenas
Safia and Abby: Yo-Yo
ReplyDeleteYour math is very thorough and organized; although it looks complicated, it is easy to follow. The two angles that you chose for your videos show your motion well and therefore are helpful in giving your math meaning. Nicely done.
Julia Berthel and Marie Suehrer
Amira and Angela: Swing
ReplyDeleteYour character description is very detailed and is helpful in understanding your motion.Your math is complicated but organized, and it is clear that you guys put time and thought into the calculus of your swinging motion. Great job!
Marie Suehrer and Julia Berthel
Melissa: Dance Leap
ReplyDeleteYou organized your videos and graphs to show how they matched up, which was helpful in understanding your motion and the math behind it. The graphs were easy to understand, and the descriptions about each enhanced your project. Good work!
Marie S and Julia B
Eva and Maria
ReplyDeleteYour project was nicely done, the equations were well organized aswell as the graphs. Your character description was very thorough, yet easy to follow and understand. The calculus application looks good too. I like your videos and of course the pictures ;-).
Nicely Done
Marie S and Julia B
Sarah and Emma
ReplyDeleteThe lacrosse stick motion was really cool, and Sarah you did a good job keeping the stick in a smooth path. That really helped making the equations more accurate. Overall the calculus and derivatives you guys used were accurate and well done too.
Good Work!
Ian O
Jenna and Jalen
ReplyDeleteThe clementine idea was really creative. I thought the two dots idea was really smart too. It made it easier for you guys to do the math, and easier for us to understand what was going on.
Ian O
Rafey and Daniel
ReplyDeleteThe 5 trails was a smart idea. It gave you more data so you guys could do a better job analyzing the data, and have a better, more accurate answer. Way to use some stats knowledge on the project! Your graph was really great and helpful to understand too.
Ian O
Rachel, Allison, and Julia,
ReplyDeleteI liked how you incorporated the positions and the movement of the soccer ball on an x y plane, thats something we didnt think about doing. I am confused on where to find the descriptions of the action.
Laura, Lexi, and Amanda,
I like you how you guys calculated the differential equations and the distance traveled for both the horizontal and vertical aspects. A lot of people chose only one for a calculation.
Frankie, Marta, and Alex,
I like how you guys showed pictures from an actual soccer field and how you drew on them to show us the motion. That was very unique. Also I liked how you didnt only show us the work but you also included a paragraph to explain the calculations that you did. That was very helpful.
Emma Gijsbers
Jalen and Jenna - Clementine
ReplyDeleteGood job! I liked that you had both a side and front view; very cool idea. I thought that your related rates problem with the juice leaking from the clementine and decreasing the radius was really creative and well done. I also liked how neat all your work is and that you placed all of the equations used in your calculations directly under each view I thought that was helpful in terms of organization.
Matt and Nick - Swing
Well done! I really liked how the video was slow motion; it made the path easy to follow. Your graphs match the curves nicely and your work (Matt's handwriting) is super neat and organized. I liked that you gave your person the name Mr. Potato head... Your description of the motion was well written and clear. I also liked that you boxed your answers to make them easier to find.
Rachel, Allison, and Julia - Rainbow (soccer)
Very good job! Way to do a perfect rainbow Rachel! You killed it and the video is a perfect angle to capture the motion. I also liked Rachel's celebration at the end of the video and thought that was funny :). Your work is very neat and well done. I like that you put the number of each problem in front to make finding each different prblem easier. I thought the idea of doing a rainbow was very cool. The description of the motion was also very thorough and I liked how you split the description into an "x" and a "y" part.
- Daniel Honet
Comments not posted by 6PM today will not receive credit!
ReplyDeleteKelsey (Vinyl record spinning)
ReplyDeleteYour character description is very detailed and specific, and I like how you included a time value. It was also a good idea for your two perspectives to be at different distances from the middle of the record, though your graphs are still very similar, so maybe you should have used values that were farther apart. Your application work is very organized, and it helped that you boxed your question and answer. Good work!
Amira and Angela (Swing motion)
This was a good idea! It looks like you don't have any graphs describing the motion or units in your answers, though. Your character description is very clearly written, and I like how you organized it into paragraphs. Your math is also well organized, and you chose really unique applications such as arc length and vectors.
Ethan and Kristopher (Yo-yo motion)
I think the motion in your project would have been better described if the character were directly on the yo-yo, though the roller coaster description is correct. Otherwise, your calculus application problems are well-organized and easy to read. I like that you put your equations in parametric form, as well. Good job!
-Anne Kozak
Rachel, Allison, and Julia,
ReplyDeleteGreat work. I liked the choice of optimization and the implementation of it. But what was most intriguing was the name Waldo. I have been scouring the countryside, searching for him for many years, but all the trails have gone cold. However, your project has given me a new lead on his location! This has reinvigorated my search, and perhaps one day, I will find Waldo.
--Ethan Anderson, Author of "Finding Waldo"
Angela, Maggie, and Jack
ReplyDeleteVery neat work. Your concept of hand movement was very creative, and I like how neat your graphs looked. They were very appeasing to the eye. I also enjoyed the idea that you took a total distance of hand movement, which was neat. Note the neat handwriting as well.
Overall, pretty neat
--Ethan "Neat" Anderson
Jalen and Jenna,
ReplyDeleteAmazing job. Not only did you do difficult derivations with both parametric and polar equations, you more importantly made the best choice of object: the clementine. Your work on this project has revolutionized and reignited the clementine movement. All clementines everywhere gain strength in the fact that you chose the superior fruit. Oranges everywhere will tremble when faced with their smaller counterpart, for the clementine is superior in every way. Smaller, convenient, versatile, seedless, tasty, and protected by a leathery outer shell, the clementine makes for one of the best fruits on the market.
--Ethan Anderson, Director of the National Clementine Association