tag:blogger.com,1999:blog-1542724471702676307.post212554127120205030..comments2023-10-17T09:50:58.075-04:00Comments on Sweeney Math: M&M Catapult project pt. 2- The projectMr. Sweeneyhttp://www.blogger.com/profile/09576574228194571537noreply@blogger.comBlogger14125tag:blogger.com,1999:blog-1542724471702676307.post-78227902956926895292013-06-06T16:42:05.843-04:002013-06-06T16:42:05.843-04:00Hello, I am wondering if you have ever done this ...Hello, I am wondering if you have ever done this by getting 3 points and doing a quadratic regression in the TI calculator? That is how I planned to do it until I say your worksheetRubenhttps://www.blogger.com/profile/06309633487152846607noreply@blogger.comtag:blogger.com,1999:blog-1542724471702676307.post-84617843721029292972013-03-29T10:16:54.114-04:002013-03-29T10:16:54.114-04:00This comment has been removed by the author.Anonymoushttps://www.blogger.com/profile/16258286056029978496noreply@blogger.comtag:blogger.com,1999:blog-1542724471702676307.post-59578912340340221402012-05-28T11:40:26.090-04:002012-05-28T11:40:26.090-04:00Umm i dont get Question 1 n page 8! is says we hav...Umm i dont get Question 1 n page 8! is says we have to put our numbers in the previous pages into standard form. but WHAT standard form?Carious and losthttps://www.blogger.com/profile/01167239868476847216noreply@blogger.comtag:blogger.com,1999:blog-1542724471702676307.post-89793891800729744182012-05-10T13:52:58.341-04:002012-05-10T13:52:58.341-04:00Yea, you've got it now, that is exactly right!...Yea, you've got it now, that is exactly right!Mr. Sweeneyhttps://www.blogger.com/profile/09576574228194571537noreply@blogger.comtag:blogger.com,1999:blog-1542724471702676307.post-49462423194813114502012-05-09T13:40:55.393-04:002012-05-09T13:40:55.393-04:00Oh wait, maybe I understand now. Will the value o...Oh wait, maybe I understand now. Will the value of k (the y value of the vertex) just increase by the height of the desk. In my case, the vertex would be k+77cm. Is that right?Rabbithttps://www.blogger.com/profile/06051577132419356883noreply@blogger.comtag:blogger.com,1999:blog-1542724471702676307.post-91410055076784709932012-05-09T12:55:59.802-04:002012-05-09T12:55:59.802-04:00Can you explain how the equation changes when you ...Can you explain how the equation changes when you account for the height of the desk? My equation is y = -0.07x^2 + 5.866x The height of the desk is 77 cm.Rabbithttps://www.blogger.com/profile/06051577132419356883noreply@blogger.comtag:blogger.com,1999:blog-1542724471702676307.post-76196030056578945022011-05-15T09:33:01.887-04:002011-05-15T09:33:01.887-04:00Evan, you plug in 0 for x and y into vertex for an...Evan, you plug in 0 for x and y into vertex for and the vertex in for h and k, so y = a(0 - 114.5)^2 + 122.5 Then solve for a. It's always going to end up be -k/(h^2) for this since you use (0,0) as the extra point. Hope this helps!Mr. Sweeneyhttps://www.blogger.com/profile/09576574228194571537noreply@blogger.comtag:blogger.com,1999:blog-1542724471702676307.post-57846586435253069362011-05-14T23:54:11.647-04:002011-05-14T23:54:11.647-04:00Help. I'm totally stuck on how you got a. Yo...Help. I'm totally stuck on how you got a. Your h was 114.3 and k was 122.5. You got a as -0.009377. Can you show me the math you did to get a. I'm blanking on this step.evandeanhttps://www.blogger.com/profile/16021154783955907186noreply@blogger.comtag:blogger.com,1999:blog-1542724471702676307.post-8644508359102218092010-10-21T17:33:04.450-04:002010-10-21T17:33:04.450-04:00Oh, BTW we did the project using the math I descri...Oh, BTW we did the project using the math I described; I verified beforehand that it yields the same result as your method! The results were pretty good; the kids' M&M's on their own self-built catapults all landed fairly close to (or right on) their targets. Yes! Thanks for sharing your lesson and design. :)untilnextstophttps://www.blogger.com/profile/15285583728476473117noreply@blogger.comtag:blogger.com,1999:blog-1542724471702676307.post-41347802518815067432010-10-03T14:41:39.864-04:002010-10-03T14:41:39.864-04:00I'm confused as to why you need the vertex ver...I'm confused as to why you need the vertex version of the quadratic equation. I haven't done this myself yet, but I would think that the first times you try it, your equation will look like:<br /><br />y = 1/2gt^2 + vt + 0, where g = -980 cm/s/s and v is the initial upwards velocity. Granted, you don't know what v is yet, but with the collected data for how long it takes to land (ie. plugging in a nonzero t), you will be able to figure out what v is.<br /><br />Then, when you launch from desk, the equation gets modified to y = 1/2gt^2 + vt + h, where v is the value you calculated from before and h is the height of the desk. With this, you can quickly find out how long it takes to land, and then using some simple proportional reasoning you can find out how far away it would land.<br /><br />Am I missing something here? Is your math simpler / more accurate than the one I am thinking of doing with my kids?<br /><br />Thanks for the feedback! (And for the design.) :)untilnextstophttps://www.blogger.com/profile/15285583728476473117noreply@blogger.comtag:blogger.com,1999:blog-1542724471702676307.post-35014810027826471852009-09-22T14:06:56.944-04:002009-09-22T14:06:56.944-04:00a is usually a messy decimal. I just now got -0.00...a is usually a messy decimal. I just now got -0.009377 for a in a quick test run. This can vary, but with my catapults, there has generally been two leading zeros. My h's and k's are usually somewhat close to each other. This also will vary pretty significantly, but I got h as 114.3cm and k as 122.5cm from the ground. For us, the candy is usually in the air for about 1 second.<br /><br />I actually used small clothespins for mine, and angled them a little forward so that they go farther(5-7 feet). So if you've made your catapult already, my numbers might be very different.<br /><br />Terry Kaminski (transformededucator.blogspot.com) did this recently. So if your catapults came out like his, he might have closer numbers.Mr. Sweeneyhttps://www.blogger.com/profile/09576574228194571537noreply@blogger.comtag:blogger.com,1999:blog-1542724471702676307.post-65806863355105863122009-09-22T09:55:51.608-04:002009-09-22T09:55:51.608-04:00Hey - If you have the information handy, what are ...Hey - If you have the information handy, what are reasonable numbers for a,h, and k in the floor equation?Katehttps://www.blogger.com/profile/14229054922453438248noreply@blogger.comtag:blogger.com,1999:blog-1542724471702676307.post-68725088770409313952009-09-04T14:45:25.305-04:002009-09-04T14:45:25.305-04:00Hey, thanks for the comment, Sam. I'd say tha...Hey, thanks for the comment, Sam. I'd say that I'd add you to my reader, but you're already there!Mr. Sweeneyhttps://www.blogger.com/profile/09576574228194571537noreply@blogger.comtag:blogger.com,1999:blog-1542724471702676307.post-61332857274430027892009-09-02T22:19:34.029-04:002009-09-02T22:19:34.029-04:00wow - this catapult thing is such a great & si...wow - this catapult thing is such a great & simple idea! i am going to TOTALLY use this.<br /><br />i love it when i find new blogs to add to my reader! welcome!Anonymousnoreply@blogger.com