Recent content by LukeOD
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Differential equations: air reistance
Thanks a lot for your help so far hunt_mat. Sorry to keep asking the same thing but I'm still really stuck on the best way to use the solutions to make the predictions and then compare them. I've got a solution for s and a solution for v for both relationships. The solution in terms of v for...- LukeOD
- Post #11
- Forum: Calculus and Beyond Homework Help
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Differential equations: air reistance
Oh ok. If I used the solution in terms of s to find a value for k [using my experimental results], would the same value of k work then in the solution for v?- LukeOD
- Post #9
- Forum: Calculus and Beyond Homework Help
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Differential equations: air reistance
I've been plotting height against time graphs but the predictions give almost completely straight lines for both v and v^2. The experimental results aren't completely straight but don't look like tanh curves either.- LukeOD
- Post #7
- Forum: Calculus and Beyond Homework Help
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Differential equations: air reistance
Ok thanks. How do you think would be best to go about using that solution to make some predictions? I've got 3 sets of experimental data, each using a different mass and each consisting of 5 results [drop height and time]. I've tried using the greatest time from each set and then using...- LukeOD
- Post #5
- Forum: Calculus and Beyond Homework Help
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Differential equations: air reistance
Thanks for the reply hunt_mat. I used the first part of the DE you suggested [mdv/dt=...] and then solved it for v. Once I'd done that I then integrated to get a solution in terms of s. I used the conditions that s=0 and v=0 when t=0 to obtain the attached solution. Sorry I can't use...- LukeOD
- Post #3
- Forum: Calculus and Beyond Homework Help
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Differential equations: air reistance
Hi, I'm half way through a piece of differential equations coursework and I'm having serious trouble with a couple of things. The brief of the coursework is to investigate the effects of air resistance on falling objects by conducting an experiment to obtain a set of results, then using...- LukeOD
- Thread
- Air Differential Differential equations
- Replies: 10
- Forum: Calculus and Beyond Homework Help