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On Wed, 8 Oct 2003 08:00:01 -0700, "Tarver Engineering"
wrote: "Ed Rasimus" wrote in message As I recall, the first integral of velocity is acceleration. Nope. Ahh, now I see. Thanks for that typically helpful addition to the thread. Enlightenment can come in such small and pithy comments. |
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![]() "Ed Rasimus" wrote in message ... On Wed, 8 Oct 2003 08:00:01 -0700, "Tarver Engineering" wrote: "Ed Rasimus" wrote in message As I recall, the first integral of velocity is acceleration. Nope. Ahh, now I see. Thanks for that typically helpful addition to the thread. Enlightenment can come in such small and pithy comments. Integral A dt = V0 + At =V |
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"Tarver Engineering" wrote in message
... "Ed Rasimus" wrote in message ... On Wed, 8 Oct 2003 08:00:01 -0700, "Tarver Engineering" wrote: "Ed Rasimus" wrote in message As I recall, the first integral of velocity is acceleration. Nope. Ahh, now I see. Thanks for that typically helpful addition to the thread. Enlightenment can come in such small and pithy comments. I hate to say it Ed but for once Tarver is right. The first *differential* of velocity is acceleration. The first integral would be distance covered. I understood perfectly what you meant though and envy you that experience. Integral A dt = V0 + At =V I've no idea what he means by this though! John |
#4
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![]() "John Mullen" wrote in message ... "Tarver Engineering" wrote in message ... "Ed Rasimus" wrote in message ... On Wed, 8 Oct 2003 08:00:01 -0700, "Tarver Engineering" wrote: "Ed Rasimus" wrote in message As I recall, the first integral of velocity is acceleration. Nope. Ahh, now I see. Thanks for that typically helpful addition to the thread. Enlightenment can come in such small and pithy comments. I hate to say it Ed but for once Tarver is right. The first *differential* of velocity is acceleration. The first integral would be distance covered. I understood perfectly what you meant though and envy you that experience. Integral A dt = V0 + At =V I've no idea what he means by this though! It is the integral form of one of Newton's laws. |
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On Wed, 8 Oct 2003 18:58:04 +0100, "John Mullen" wrote:
"Tarver Engineering" wrote in message ... "Ed Rasimus" wrote in message As I recall, the first integral of velocity is acceleration. Nope. I hate to say it Ed but for once Tarver is right. The first *differential* of velocity is acceleration. The first integral would be distance covered. I understood perfectly what you meant though and envy you that experience. Well, the disclaimer at the beginning of my post should cover me. I knew that the relationship between velocity, acceleration and rate of change of acceleration went one way or the other. It was either the first and second integral or the first and second differential. It was differential equations at the end of my fourth semester as a chemistry major, coupled with semi-micro qualitative analysis and physical chemistry, that led me to see the futility of ever succeeding with the pocket protector crowd. I changed major to political science with the singular goal of gaining a degree in "anything" so that I could get on with entering the AF and flying jets. If we change the "integral" to "differential" I'm sure that John will recognize and acknowledge my point about aircraft accelerating through the mach vertically. |
#6
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![]() "Ed Rasimus" wrote in message ... On Wed, 8 Oct 2003 18:58:04 +0100, "John Mullen" wrote: "Tarver Engineering" wrote in message ... "Ed Rasimus" wrote in message As I recall, the first integral of velocity is acceleration. Nope. I hate to say it Ed but for once Tarver is right. The first *differential* of velocity is acceleration. The first integral would be distance covered. I understood perfectly what you meant though and envy you that experience. Well, the disclaimer at the beginning of my post should cover me. I knew that the relationship between velocity, acceleration and rate of change of acceleration went one way or the other. It goes both ways: Integral a dt = V + V0 dV/dt = a But of course, Ed knows his airplane operating. |
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![]() I hate to say it Ed but for once Tarver is right. The first *differential* of velocity is acceleration. The first integral would be distance covered. I understood perfectly what you meant though and envy you that experience. Integral A dt = V0 + At =V I've no idea what he means by this though! John It's basic calculus. Try this one in English units: if you drop an object the function for determining how far it has fallen is X=16T^2, where X is the distance travelled in feet and T is the time in seconds. The first derivative is V = 32T where V is instantaneous velocity expressed in feet per second. The first derivative of V, and the second of X, is A = 32 feet/second/second which is the acceleration due to gravity. Integration is the reverse process. This function doesn't take into account drag, but if you drop a bowling ball from the top of a 10 story building drag is negligible. Dan, U. S. Air Force, retired |
#8
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In article , B2431
writes It's basic calculus. I'm not too sure if 'basic' and 'calculus' sit too well together ![]() Try this one in English units: if you drop an object the function for determining how far it has fallen is X=16T^2, where X is the distance travelled in feet and T is the time in seconds. The first derivative is V = 32T where V is instantaneous velocity expressed in feet per second. The first derivative of V, and the second of X, is A = 32 feet/second/second which is the acceleration due to gravity. Integration is the reverse process. This function doesn't take into account drag, but if you drop a bowling ball from the top of a 10 story building drag is negligible. The best bit I liked was deriving the equations of motion from the three basic dimensions 'L', 'M' & 'T' (distance, mass, time). -- John |
#9
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From: John Halliwell
B2431 writes It's basic calculus. I'm not too sure if 'basic' and 'calculus' sit too well together ![]() Compared to what I learned, and have since forgotten in calc 2 and 3 it is basic. If you want to see a course that makes sanity seem like an illusion try one in imagionary variables. Algebra is when you stop counting on your fingers and start using your toes. Calculus is when you tie those toes in knots. Differential equations is when you start learning you are now different..........etc. Dan, U. S. Air Force, retired |
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